5(y-1)=7-2(y-7)

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Solution for 5(y-1)=7-2(y-7) equation:


Simplifying
5(y + -1) = 7 + -2(y + -7)

Reorder the terms:
5(-1 + y) = 7 + -2(y + -7)
(-1 * 5 + y * 5) = 7 + -2(y + -7)
(-5 + 5y) = 7 + -2(y + -7)

Reorder the terms:
-5 + 5y = 7 + -2(-7 + y)
-5 + 5y = 7 + (-7 * -2 + y * -2)
-5 + 5y = 7 + (14 + -2y)

Combine like terms: 7 + 14 = 21
-5 + 5y = 21 + -2y

Solving
-5 + 5y = 21 + -2y

Solving for variable 'y'.

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

Add '2y' to each side of the equation.
-5 + 5y + 2y = 21 + -2y + 2y

Combine like terms: 5y + 2y = 7y
-5 + 7y = 21 + -2y + 2y

Combine like terms: -2y + 2y = 0
-5 + 7y = 21 + 0
-5 + 7y = 21

Add '5' to each side of the equation.
-5 + 5 + 7y = 21 + 5

Combine like terms: -5 + 5 = 0
0 + 7y = 21 + 5
7y = 21 + 5

Combine like terms: 21 + 5 = 26
7y = 26

Divide each side by '7'.
y = 3.714285714

Simplifying
y = 3.714285714

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