4(-2y-3)=-5(y-2)+2

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Solution for 4(-2y-3)=-5(y-2)+2 equation: 


Simplifying
4(-2y + -3) = -5(y + -2) + 2

Reorder the terms:
4(-3 + -2y) = -5(y + -2) + 2
(-3 * 4 + -2y * 4) = -5(y + -2) + 2
(-12 + -8y) = -5(y + -2) + 2

Reorder the terms:
-12 + -8y = -5(-2 + y) + 2
-12 + -8y = (-2 * -5 + y * -5) + 2
-12 + -8y = (10 + -5y) + 2

Reorder the terms:
-12 + -8y = 10 + 2 + -5y

Combine like terms: 10 + 2 = 12
-12 + -8y = 12 + -5y

Solving
-12 + -8y = 12 + -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.
-12 + -8y + 5y = 12 + -5y + 5y

Combine like terms: -8y + 5y = -3y
-12 + -3y = 12 + -5y + 5y

Combine like terms: -5y + 5y = 0
-12 + -3y = 12 + 0
-12 + -3y = 12

Add '12' to each side of the equation.
-12 + 12 + -3y = 12 + 12

Combine like terms: -12 + 12 = 0
0 + -3y = 12 + 12
-3y = 12 + 12

Combine like terms: 12 + 12 = 24
-3y = 24

Divide each side by '-3'.
y = -8

Simplifying
y = -8

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