-5(4y-3)=2(1-8y)+11

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Solution for -5(4y-3)=2(1-8y)+11 equation:


Simplifying
-5(4y + -3) = 2(1 + -8y) + 11

Reorder the terms:
-5(-3 + 4y) = 2(1 + -8y) + 11
(-3 * -5 + 4y * -5) = 2(1 + -8y) + 11
(15 + -20y) = 2(1 + -8y) + 11
15 + -20y = (1 * 2 + -8y * 2) + 11
15 + -20y = (2 + -16y) + 11

Reorder the terms:
15 + -20y = 2 + 11 + -16y

Combine like terms: 2 + 11 = 13
15 + -20y = 13 + -16y

Solving
15 + -20y = 13 + -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 + -20y + 16y = 13 + -16y + 16y

Combine like terms: -20y + 16y = -4y
15 + -4y = 13 + -16y + 16y

Combine like terms: -16y + 16y = 0
15 + -4y = 13 + 0
15 + -4y = 13

Add '-15' to each side of the equation.
15 + -15 + -4y = 13 + -15

Combine like terms: 15 + -15 = 0
0 + -4y = 13 + -15
-4y = 13 + -15

Combine like terms: 13 + -15 = -2
-4y = -2

Divide each side by '-4'.
y = 0.5

Simplifying
y = 0.5

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