6(y-1)-5(y+2)=-14

Solution for 6(y-1)-5(y+2)=-14 equation:

Simplifying
6(y + -1) + -5(y + 2) = -14

Reorder the terms:
6(-1 + y) + -5(y + 2) = -14
(-1 * 6 + y * 6) + -5(y + 2) = -14
(-6 + 6y) + -5(y + 2) = -14

Reorder the terms:
-6 + 6y + -5(2 + y) = -14
-6 + 6y + (2 * -5 + y * -5) = -14
-6 + 6y + (-10 + -5y) = -14

Reorder the terms:
-6 + -10 + 6y + -5y = -14

Combine like terms: -6 + -10 = -16
-16 + 6y + -5y = -14

Combine like terms: 6y + -5y = 1y
-16 + 1y = -14

Solving
-16 + 1y = -14

Solving for variable 'y'.

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

Add '16' to each side of the equation.
-16 + 16 + 1y = -14 + 16

Combine like terms: -16 + 16 = 0
0 + 1y = -14 + 16
1y = -14 + 16

Combine like terms: -14 + 16 = 2
1y = 2

Divide each side by '1'.
y = 2

Simplifying
y = 2