4(y-5)=-5y-38

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Solution for 4(y-5)=-5y-38 equation: 


Simplifying
4(y + -5) = -5y + -38

Reorder the terms:
4(-5 + y) = -5y + -38
(-5 * 4 + y * 4) = -5y + -38
(-20 + 4y) = -5y + -38

Reorder the terms:
-20 + 4y = -38 + -5y

Solving
-20 + 4y = -38 + -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.
-20 + 4y + 5y = -38 + -5y + 5y

Combine like terms: 4y + 5y = 9y
-20 + 9y = -38 + -5y + 5y

Combine like terms: -5y + 5y = 0
-20 + 9y = -38 + 0
-20 + 9y = -38

Add '20' to each side of the equation.
-20 + 20 + 9y = -38 + 20

Combine like terms: -20 + 20 = 0
0 + 9y = -38 + 20
9y = -38 + 20

Combine like terms: -38 + 20 = -18
9y = -18

Divide each side by '9'.
y = -2

Simplifying
y = -2

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