5y-40=-5(y-6)

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Solution for 5y-40=-5(y-6) equation:


Simplifying
5y + -40 = -5(y + -6)

Reorder the terms:
-40 + 5y = -5(y + -6)

Reorder the terms:
-40 + 5y = -5(-6 + y)
-40 + 5y = (-6 * -5 + y * -5)
-40 + 5y = (30 + -5y)

Solving
-40 + 5y = 30 + -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.
-40 + 5y + 5y = 30 + -5y + 5y

Combine like terms: 5y + 5y = 10y
-40 + 10y = 30 + -5y + 5y

Combine like terms: -5y + 5y = 0
-40 + 10y = 30 + 0
-40 + 10y = 30

Add '40' to each side of the equation.
-40 + 40 + 10y = 30 + 40

Combine like terms: -40 + 40 = 0
0 + 10y = 30 + 40
10y = 30 + 40

Combine like terms: 30 + 40 = 70
10y = 70

Divide each side by '10'.
y = 7

Simplifying
y = 7

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