-3(8y-4)=4(1-7y)+11

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Solution for -3(8y-4)=4(1-7y)+11 equation:


Simplifying
-3(8y + -4) = 4(1 + -7y) + 11

Reorder the terms:
-3(-4 + 8y) = 4(1 + -7y) + 11
(-4 * -3 + 8y * -3) = 4(1 + -7y) + 11
(12 + -24y) = 4(1 + -7y) + 11
12 + -24y = (1 * 4 + -7y * 4) + 11
12 + -24y = (4 + -28y) + 11

Reorder the terms:
12 + -24y = 4 + 11 + -28y

Combine like terms: 4 + 11 = 15
12 + -24y = 15 + -28y

Solving
12 + -24y = 15 + -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 = 15 + -28y + 28y

Combine like terms: -24y + 28y = 4y
12 + 4y = 15 + -28y + 28y

Combine like terms: -28y + 28y = 0
12 + 4y = 15 + 0
12 + 4y = 15

Add '-12' to each side of the equation.
12 + -12 + 4y = 15 + -12

Combine like terms: 12 + -12 = 0
0 + 4y = 15 + -12
4y = 15 + -12

Combine like terms: 15 + -12 = 3
4y = 3

Divide each side by '4'.
y = 0.75

Simplifying
y = 0.75

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