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

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


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

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

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

Combine like terms: 5 + 9 = 14
12 + 12y = 14 + -6y

Solving
12 + 12y = 14 + -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.
12 + 12y + 6y = 14 + -6y + 6y

Combine like terms: 12y + 6y = 18y
12 + 18y = 14 + -6y + 6y

Combine like terms: -6y + 6y = 0
12 + 18y = 14 + 0
12 + 18y = 14

Add '-12' to each side of the equation.
12 + -12 + 18y = 14 + -12

Combine like terms: 12 + -12 = 0
0 + 18y = 14 + -12
18y = 14 + -12

Combine like terms: 14 + -12 = 2
18y = 2

Divide each side by '18'.
y = 0.1111111111

Simplifying
y = 0.1111111111

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