-3(8y-5)=4(1-7y)+14

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Solution for -3(8y-5)=4(1-7y)+14 equation: 


Simplifying
-3(8y + -5) = 4(1 + -7y) + 14

Reorder the terms:
-3(-5 + 8y) = 4(1 + -7y) + 14
(-5 * -3 + 8y * -3) = 4(1 + -7y) + 14
(15 + -24y) = 4(1 + -7y) + 14
15 + -24y = (1 * 4 + -7y * 4) + 14
15 + -24y = (4 + -28y) + 14

Reorder the terms:
15 + -24y = 4 + 14 + -28y

Combine like terms: 4 + 14 = 18
15 + -24y = 18 + -28y

Solving
15 + -24y = 18 + -28y

Solving for variable 'y'.

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

Add '28y' to each side of the equation.
15 + -24y + 28y = 18 + -28y + 28y

Combine like terms: -24y + 28y = 4y
15 + 4y = 18 + -28y + 28y

Combine like terms: -28y + 28y = 0
15 + 4y = 18 + 0
15 + 4y = 18

Add '-15' to each side of the equation.
15 + -15 + 4y = 18 + -15

Combine like terms: 15 + -15 = 0
0 + 4y = 18 + -15
4y = 18 + -15

Combine like terms: 18 + -15 = 3
4y = 3

Divide each side by '4'.
y = 0.75

Simplifying
y = 0.75

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