3(2y+3)=5-4(3-y)

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Solution for 3(2y+3)=5-4(3-y) equation: 


Simplifying
3(2y + 3) = 5 + -4(3 + -1y)

Reorder the terms:
3(3 + 2y) = 5 + -4(3 + -1y)
(3 * 3 + 2y * 3) = 5 + -4(3 + -1y)
(9 + 6y) = 5 + -4(3 + -1y)
9 + 6y = 5 + (3 * -4 + -1y * -4)
9 + 6y = 5 + (-12 + 4y)

Combine like terms: 5 + -12 = -7
9 + 6y = -7 + 4y

Solving
9 + 6y = -7 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
9 + 6y + -4y = -7 + 4y + -4y

Combine like terms: 6y + -4y = 2y
9 + 2y = -7 + 4y + -4y

Combine like terms: 4y + -4y = 0
9 + 2y = -7 + 0
9 + 2y = -7

Add '-9' to each side of the equation.
9 + -9 + 2y = -7 + -9

Combine like terms: 9 + -9 = 0
0 + 2y = -7 + -9
2y = -7 + -9

Combine like terms: -7 + -9 = -16
2y = -16

Divide each side by '2'.
y = -8

Simplifying
y = -8

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