5(y-2)=-5y+40

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Solution for 5(y-2)=-5y+40 equation: 


Simplifying
5(y + -2) = -5y + 40

Reorder the terms:
5(-2 + y) = -5y + 40
(-2 * 5 + y * 5) = -5y + 40
(-10 + 5y) = -5y + 40

Reorder the terms:
-10 + 5y = 40 + -5y

Solving
-10 + 5y = 40 + -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 + 5y + 5y = 40 + -5y + 5y

Combine like terms: 5y + 5y = 10y
-10 + 10y = 40 + -5y + 5y

Combine like terms: -5y + 5y = 0
-10 + 10y = 40 + 0
-10 + 10y = 40

Add '10' to each side of the equation.
-10 + 10 + 10y = 40 + 10

Combine like terms: -10 + 10 = 0
0 + 10y = 40 + 10
10y = 40 + 10

Combine like terms: 40 + 10 = 50
10y = 50

Divide each side by '10'.
y = 5

Simplifying
y = 5

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