2(y-8)=5(y+4)-18

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Solution for 2(y-8)=5(y+4)-18 equation: 


Simplifying
2(y + -8) = 5(y + 4) + -18

Reorder the terms:
2(-8 + y) = 5(y + 4) + -18
(-8 * 2 + y * 2) = 5(y + 4) + -18
(-16 + 2y) = 5(y + 4) + -18

Reorder the terms:
-16 + 2y = 5(4 + y) + -18
-16 + 2y = (4 * 5 + y * 5) + -18
-16 + 2y = (20 + 5y) + -18

Reorder the terms:
-16 + 2y = 20 + -18 + 5y

Combine like terms: 20 + -18 = 2
-16 + 2y = 2 + 5y

Solving
-16 + 2y = 2 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
-16 + 2y + -5y = 2 + 5y + -5y

Combine like terms: 2y + -5y = -3y
-16 + -3y = 2 + 5y + -5y

Combine like terms: 5y + -5y = 0
-16 + -3y = 2 + 0
-16 + -3y = 2

Add '16' to each side of the equation.
-16 + 16 + -3y = 2 + 16

Combine like terms: -16 + 16 = 0
0 + -3y = 2 + 16
-3y = 2 + 16

Combine like terms: 2 + 16 = 18
-3y = 18

Divide each side by '-3'.
y = -6

Simplifying
y = -6

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