3(4y+8)-9=-2(18y-30)

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Solution for 3(4y+8)-9=-2(18y-30) equation: 


Simplifying
3(4y + 8) + -9 = -2(18y + -30)

Reorder the terms:
3(8 + 4y) + -9 = -2(18y + -30)
(8 * 3 + 4y * 3) + -9 = -2(18y + -30)
(24 + 12y) + -9 = -2(18y + -30)

Reorder the terms:
24 + -9 + 12y = -2(18y + -30)

Combine like terms: 24 + -9 = 15
15 + 12y = -2(18y + -30)

Reorder the terms:
15 + 12y = -2(-30 + 18y)
15 + 12y = (-30 * -2 + 18y * -2)
15 + 12y = (60 + -36y)

Solving
15 + 12y = 60 + -36y

Solving for variable 'y'.

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

Add '36y' to each side of the equation.
15 + 12y + 36y = 60 + -36y + 36y

Combine like terms: 12y + 36y = 48y
15 + 48y = 60 + -36y + 36y

Combine like terms: -36y + 36y = 0
15 + 48y = 60 + 0
15 + 48y = 60

Add '-15' to each side of the equation.
15 + -15 + 48y = 60 + -15

Combine like terms: 15 + -15 = 0
0 + 48y = 60 + -15
48y = 60 + -15

Combine like terms: 60 + -15 = 45
48y = 45

Divide each side by '48'.
y = 0.9375

Simplifying
y = 0.9375

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