-3(8y-4)=4(1-7y)+10

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Solution for -3(8y-4)=4(1-7y)+10 equation: 


Simplifying
-3(8y + -4) = 4(1 + -7y) + 10

Reorder the terms:
-3(-4 + 8y) = 4(1 + -7y) + 10
(-4 * -3 + 8y * -3) = 4(1 + -7y) + 10
(12 + -24y) = 4(1 + -7y) + 10
12 + -24y = (1 * 4 + -7y * 4) + 10
12 + -24y = (4 + -28y) + 10

Reorder the terms:
12 + -24y = 4 + 10 + -28y

Combine like terms: 4 + 10 = 14
12 + -24y = 14 + -28y

Solving
12 + -24y = 14 + -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.
12 + -24y + 28y = 14 + -28y + 28y

Combine like terms: -24y + 28y = 4y
12 + 4y = 14 + -28y + 28y

Combine like terms: -28y + 28y = 0
12 + 4y = 14 + 0
12 + 4y = 14

Add '-12' to each side of the equation.
12 + -12 + 4y = 14 + -12

Combine like terms: 12 + -12 = 0
0 + 4y = 14 + -12
4y = 14 + -12

Combine like terms: 14 + -12 = 2
4y = 2

Divide each side by '4'.
y = 0.5

Simplifying
y = 0.5

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