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y = 2x - 2
6x - 2(y + 3) = 2(x + 5) - 12
Step 1: Convert the equation in "y = mx + c" form. Apply distributive property of multiplication.
6x - 2(y + 3) = 2(x + 5) - 12
↓
6x - 2y - 6 = 2x + 10 - 12
Step 2: Transpose all the monomials at the right side of the equation except for the monomial that has a "y" variable. Take note that the sign needs to be changed as you transpose it.
6x - 2y - 6 = 2x + 10 - 12
↓
-2y = 2x + 10 - 12 - 6x + 6
Step 3: Simplify.
-2y = 2x + 10 - 12 - 6x + 6
↓
-2y = - 4x + 4
↓
-y = - 2x + 2
↓
y = 2x - 2
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