2(y-5)=3(y+2)-8

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Solution for 2(y-5)=3(y+2)-8 equation: 


Simplifying
2(y + -5) = 3(y + 2) + -8

Reorder the terms:
2(-5 + y) = 3(y + 2) + -8
(-5 * 2 + y * 2) = 3(y + 2) + -8
(-10 + 2y) = 3(y + 2) + -8

Reorder the terms:
-10 + 2y = 3(2 + y) + -8
-10 + 2y = (2 * 3 + y * 3) + -8
-10 + 2y = (6 + 3y) + -8

Reorder the terms:
-10 + 2y = 6 + -8 + 3y

Combine like terms: 6 + -8 = -2
-10 + 2y = -2 + 3y

Solving
-10 + 2y = -2 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
-10 + 2y + -3y = -2 + 3y + -3y

Combine like terms: 2y + -3y = -1y
-10 + -1y = -2 + 3y + -3y

Combine like terms: 3y + -3y = 0
-10 + -1y = -2 + 0
-10 + -1y = -2

Add '10' to each side of the equation.
-10 + 10 + -1y = -2 + 10

Combine like terms: -10 + 10 = 0
0 + -1y = -2 + 10
-1y = -2 + 10

Combine like terms: -2 + 10 = 8
-1y = 8

Divide each side by '-1'.
y = -8

Simplifying
y = -8

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