5(y-3)=(y+5)

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Solution for 5(y-3)=(y+5) equation:


Simplifying
5(y + -3) = (y + 5)

Reorder the terms:
5(-3 + y) = (y + 5)
(-3 * 5 + y * 5) = (y + 5)
(-15 + 5y) = (y + 5)

Reorder the terms:
-15 + 5y = (5 + y)

Remove parenthesis around (5 + y)
-15 + 5y = 5 + y

Solving
-15 + 5y = 5 + 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.
-15 + 5y + -1y = 5 + y + -1y

Combine like terms: 5y + -1y = 4y
-15 + 4y = 5 + y + -1y

Combine like terms: y + -1y = 0
-15 + 4y = 5 + 0
-15 + 4y = 5

Add '15' to each side of the equation.
-15 + 15 + 4y = 5 + 15

Combine like terms: -15 + 15 = 0
0 + 4y = 5 + 15
4y = 5 + 15

Combine like terms: 5 + 15 = 20
4y = 20

Divide each side by '4'.
y = 5

Simplifying
y = 5

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