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

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


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

Reorder the terms:
5(6 + y) = 6(y + -3)
(6 * 5 + y * 5) = 6(y + -3)
(30 + 5y) = 6(y + -3)

Reorder the terms:
30 + 5y = 6(-3 + y)
30 + 5y = (-3 * 6 + y * 6)
30 + 5y = (-18 + 6y)

Solving
30 + 5y = -18 + 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
30 + 5y + -6y = -18 + 6y + -6y

Combine like terms: 5y + -6y = -1y
30 + -1y = -18 + 6y + -6y

Combine like terms: 6y + -6y = 0
30 + -1y = -18 + 0
30 + -1y = -18

Add '-30' to each side of the equation.
30 + -30 + -1y = -18 + -30

Combine like terms: 30 + -30 = 0
0 + -1y = -18 + -30
-1y = -18 + -30

Combine like terms: -18 + -30 = -48
-1y = -48

Divide each side by '-1'.
y = 48

Simplifying
y = 48

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