3(4y+5)=6(1-y)

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Solution for 3(4y+5)=6(1-y) equation:


Simplifying
3(4y + 5) = 6(1 + -1y)

Reorder the terms:
3(5 + 4y) = 6(1 + -1y)
(5 * 3 + 4y * 3) = 6(1 + -1y)
(15 + 12y) = 6(1 + -1y)
15 + 12y = (1 * 6 + -1y * 6)
15 + 12y = (6 + -6y)

Solving
15 + 12y = 6 + -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 + 12y + 6y = 6 + -6y + 6y

Combine like terms: 12y + 6y = 18y
15 + 18y = 6 + -6y + 6y

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

Add '-15' to each side of the equation.
15 + -15 + 18y = 6 + -15

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

Combine like terms: 6 + -15 = -9
18y = -9

Divide each side by '18'.
y = -0.5

Simplifying
y = -0.5

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