5(y-1)=7y-23

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Solution for 5(y-1)=7y-23 equation:


Simplifying
5(y + -1) = 7y + -23

Reorder the terms:
5(-1 + y) = 7y + -23
(-1 * 5 + y * 5) = 7y + -23
(-5 + 5y) = 7y + -23

Reorder the terms:
-5 + 5y = -23 + 7y

Solving
-5 + 5y = -23 + 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.
-5 + 5y + -7y = -23 + 7y + -7y

Combine like terms: 5y + -7y = -2y
-5 + -2y = -23 + 7y + -7y

Combine like terms: 7y + -7y = 0
-5 + -2y = -23 + 0
-5 + -2y = -23

Add '5' to each side of the equation.
-5 + 5 + -2y = -23 + 5

Combine like terms: -5 + 5 = 0
0 + -2y = -23 + 5
-2y = -23 + 5

Combine like terms: -23 + 5 = -18
-2y = -18

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

Simplifying
y = 9

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