-3(4y-5)=2(1-8y)+14

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Solution for -3(4y-5)=2(1-8y)+14 equation: 


Simplifying
-3(4y + -5) = 2(1 + -8y) + 14

Reorder the terms:
-3(-5 + 4y) = 2(1 + -8y) + 14
(-5 * -3 + 4y * -3) = 2(1 + -8y) + 14
(15 + -12y) = 2(1 + -8y) + 14
15 + -12y = (1 * 2 + -8y * 2) + 14
15 + -12y = (2 + -16y) + 14

Reorder the terms:
15 + -12y = 2 + 14 + -16y

Combine like terms: 2 + 14 = 16
15 + -12y = 16 + -16y

Solving
15 + -12y = 16 + -16y

Solving for variable 'y'.

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

Add '16y' to each side of the equation.
15 + -12y + 16y = 16 + -16y + 16y

Combine like terms: -12y + 16y = 4y
15 + 4y = 16 + -16y + 16y

Combine like terms: -16y + 16y = 0
15 + 4y = 16 + 0
15 + 4y = 16

Add '-15' to each side of the equation.
15 + -15 + 4y = 16 + -15

Combine like terms: 15 + -15 = 0
0 + 4y = 16 + -15
4y = 16 + -15

Combine like terms: 16 + -15 = 1
4y = 1

Divide each side by '4'.
y = 0.25

Simplifying
y = 0.25

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