-3(y+5)+5y=(y-6)

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Solution for -3(y+5)+5y=(y-6) equation:


Simplifying
-3(y + 5) + 5y = (y + -6)

Reorder the terms:
-3(5 + y) + 5y = (y + -6)
(5 * -3 + y * -3) + 5y = (y + -6)
(-15 + -3y) + 5y = (y + -6)

Combine like terms: -3y + 5y = 2y
-15 + 2y = (y + -6)

Reorder the terms:
-15 + 2y = (-6 + y)

Remove parenthesis around (-6 + y)
-15 + 2y = -6 + y

Solving
-15 + 2y = -6 + 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 + 2y + -1y = -6 + y + -1y

Combine like terms: 2y + -1y = 1y
-15 + 1y = -6 + y + -1y

Combine like terms: y + -1y = 0
-15 + 1y = -6 + 0
-15 + 1y = -6

Add '15' to each side of the equation.
-15 + 15 + 1y = -6 + 15

Combine like terms: -15 + 15 = 0
0 + 1y = -6 + 15
1y = -6 + 15

Combine like terms: -6 + 15 = 9
1y = 9

Divide each side by '1'.
y = 9

Simplifying
y = 9

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