-5y+3(y-2)=10

Solution for -5y+3(y-2)=10 equation:

Simplifying
-5y + 3(y + -2) = 10

Reorder the terms:
-5y + 3(-2 + y) = 10
-5y + (-2 * 3 + y * 3) = 10
-5y + (-6 + 3y) = 10

Reorder the terms:
-6 + -5y + 3y = 10

Combine like terms: -5y + 3y = -2y
-6 + -2y = 10

Solving
-6 + -2y = 10

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '6' to each side of the equation.
-6 + 6 + -2y = 10 + 6

Combine like terms: -6 + 6 = 0
0 + -2y = 10 + 6
-2y = 10 + 6

Combine like terms: 10 + 6 = 16
-2y = 16

Divide each side by '-2'.
y = -8

Simplifying
y = -8