I found this through a search engine, hope it helps.
So there are some standard formulas you'll want to remember.
For approximately 1 unit of standard sugar syrup: mix 1 unit granulated sugar with 1/2 unit water, heat until it just boils (at which point the sugar will be all dissolved), and cool.
To substitute brown sugar for granulated sugar: mix 3/4 unit brown sugar with 1/2 unit granulated sugar for each unit of pure granulated sugar; or substitute pure brown sugar 1 to 1 for granulated white sugar.
To substitute honey for sugar syrup: use 1 to 1-1/4 units honey for each unit of syrup.
To substitute corn syrup for sugar or syrup: 2 units corn syrup equals 1 unit granulated sugar (I saw it recommended not to use corn syrup to replace more than half the amount of sugar a recipe calls for).
To substitute maple syrup: 3/4 units maple syrup equals 1 unit granulated sugar.
To substitute molasses: 1 unit molasses equals 3/4 units granulated sugar (should replace no more than half the sugar in a recipe).
I think it will be more moist. I used brown sugar in my mint chocolate cake recipe, and it is so moist and yummy!
I quite often add raw/golden caster sugar to my Chocolate mud cake (either replacing all or half of the total sugar). It makes it slightly richer and more moist - also tastes a bit like caramel. Definitely a good result. I haven't tried with brown sugar, think it may be too much to replace all the sugar. However there is only one way to find out! Let us know how it goes if you try it!
I would keep the amount of sugar the same as changing it could change the consistency of the cake.
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