-3(y-6)-(2y+8)=20

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Solution for -3(y-6)-(2y+8)=20 equation:


Simplifying
-3(y + -6) + -1(2y + 8) = 20

Reorder the terms:
-3(-6 + y) + -1(2y + 8) = 20
(-6 * -3 + y * -3) + -1(2y + 8) = 20
(18 + -3y) + -1(2y + 8) = 20

Reorder the terms:
18 + -3y + -1(8 + 2y) = 20
18 + -3y + (8 * -1 + 2y * -1) = 20
18 + -3y + (-8 + -2y) = 20

Reorder the terms:
18 + -8 + -3y + -2y = 20

Combine like terms: 18 + -8 = 10
10 + -3y + -2y = 20

Combine like terms: -3y + -2y = -5y
10 + -5y = 20

Solving
10 + -5y = 20

Solving for variable 'y'.

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

Add '-10' to each side of the equation.
10 + -10 + -5y = 20 + -10

Combine like terms: 10 + -10 = 0
0 + -5y = 20 + -10
-5y = 20 + -10

Combine like terms: 20 + -10 = 10
-5y = 10

Divide each side by '-5'.
y = -2

Simplifying
y = -2

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