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

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


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

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

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

Remove parenthesis around (7 + y)
-10 + 5y = 7 + y

Solving
-10 + 5y = 7 + y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
-10 + 5y + -1y = 7 + y + -1y

Combine like terms: 5y + -1y = 4y
-10 + 4y = 7 + y + -1y

Combine like terms: y + -1y = 0
-10 + 4y = 7 + 0
-10 + 4y = 7

Add '10' to each side of the equation.
-10 + 10 + 4y = 7 + 10

Combine like terms: -10 + 10 = 0
0 + 4y = 7 + 10
4y = 7 + 10

Combine like terms: 7 + 10 = 17
4y = 17

Divide each side by '4'.
y = 4.25

Simplifying
y = 4.25

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