-4(y-2)=5y-37

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Solution for -4(y-2)=5y-37 equation:


Simplifying
-4(y + -2) = 5y + -37

Reorder the terms:
-4(-2 + y) = 5y + -37
(-2 * -4 + y * -4) = 5y + -37
(8 + -4y) = 5y + -37

Reorder the terms:
8 + -4y = -37 + 5y

Solving
8 + -4y = -37 + 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.
8 + -4y + -5y = -37 + 5y + -5y

Combine like terms: -4y + -5y = -9y
8 + -9y = -37 + 5y + -5y

Combine like terms: 5y + -5y = 0
8 + -9y = -37 + 0
8 + -9y = -37

Add '-8' to each side of the equation.
8 + -8 + -9y = -37 + -8

Combine like terms: 8 + -8 = 0
0 + -9y = -37 + -8
-9y = -37 + -8

Combine like terms: -37 + -8 = -45
-9y = -45

Divide each side by '-9'.
y = 5

Simplifying
y = 5

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