-7(1-4y)=2y-3

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Solution for -7(1-4y)=2y-3 equation:


Simplifying
-7(1 + -4y) = 2y + -3
(1 * -7 + -4y * -7) = 2y + -3
(-7 + 28y) = 2y + -3

Reorder the terms:
-7 + 28y = -3 + 2y

Solving
-7 + 28y = -3 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
-7 + 28y + -2y = -3 + 2y + -2y

Combine like terms: 28y + -2y = 26y
-7 + 26y = -3 + 2y + -2y

Combine like terms: 2y + -2y = 0
-7 + 26y = -3 + 0
-7 + 26y = -3

Add '7' to each side of the equation.
-7 + 7 + 26y = -3 + 7

Combine like terms: -7 + 7 = 0
0 + 26y = -3 + 7
26y = -3 + 7

Combine like terms: -3 + 7 = 4
26y = 4

Divide each side by '26'.
y = 0.1538461538

Simplifying
y = 0.1538461538

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