2(y-5)=5(y+7)-18

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Solution for 2(y-5)=5(y+7)-18 equation: 


Simplifying
2(y + -5) = 5(y + 7) + -18

Reorder the terms:
2(-5 + y) = 5(y + 7) + -18
(-5 * 2 + y * 2) = 5(y + 7) + -18
(-10 + 2y) = 5(y + 7) + -18

Reorder the terms:
-10 + 2y = 5(7 + y) + -18
-10 + 2y = (7 * 5 + y * 5) + -18
-10 + 2y = (35 + 5y) + -18

Reorder the terms:
-10 + 2y = 35 + -18 + 5y

Combine like terms: 35 + -18 = 17
-10 + 2y = 17 + 5y

Solving
-10 + 2y = 17 + 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.
-10 + 2y + -5y = 17 + 5y + -5y

Combine like terms: 2y + -5y = -3y
-10 + -3y = 17 + 5y + -5y

Combine like terms: 5y + -5y = 0
-10 + -3y = 17 + 0
-10 + -3y = 17

Add '10' to each side of the equation.
-10 + 10 + -3y = 17 + 10

Combine like terms: -10 + 10 = 0
0 + -3y = 17 + 10
-3y = 17 + 10

Combine like terms: 17 + 10 = 27
-3y = 27

Divide each side by '-3'.
y = -9

Simplifying
y = -9

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