5(y-2)=7y-2

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Solution for 5(y-2)=7y-2 equation:


Simplifying
5(y + -2) = 7y + -2

Reorder the terms:
5(-2 + y) = 7y + -2
(-2 * 5 + y * 5) = 7y + -2
(-10 + 5y) = 7y + -2

Reorder the terms:
-10 + 5y = -2 + 7y

Solving
-10 + 5y = -2 + 7y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-7y' to each side of the equation.
-10 + 5y + -7y = -2 + 7y + -7y

Combine like terms: 5y + -7y = -2y
-10 + -2y = -2 + 7y + -7y

Combine like terms: 7y + -7y = 0
-10 + -2y = -2 + 0
-10 + -2y = -2

Add '10' to each side of the equation.
-10 + 10 + -2y = -2 + 10

Combine like terms: -10 + 10 = 0
0 + -2y = -2 + 10
-2y = -2 + 10

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

Divide each side by '-2'.
y = -4

Simplifying
y = -4

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