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

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


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

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

Reorder the terms:
15 + 5y = 6(-3 + y)
15 + 5y = (-3 * 6 + y * 6)
15 + 5y = (-18 + 6y)

Solving
15 + 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.
15 + 5y + -6y = -18 + 6y + -6y

Combine like terms: 5y + -6y = -1y
15 + -1y = -18 + 6y + -6y

Combine like terms: 6y + -6y = 0
15 + -1y = -18 + 0
15 + -1y = -18

Add '-15' to each side of the equation.
15 + -15 + -1y = -18 + -15

Combine like terms: 15 + -15 = 0
0 + -1y = -18 + -15
-1y = -18 + -15

Combine like terms: -18 + -15 = -33
-1y = -33

Divide each side by '-1'.
y = 33

Simplifying
y = 33

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