4(2x-y)+11=8x-13

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Solution for 4(2x-y)+11=8x-13 equation: 


Simplifying
4(2x + -1y) + 11 = 8x + -13
(2x * 4 + -1y * 4) + 11 = 8x + -13
(8x + -4y) + 11 = 8x + -13

Reorder the terms:
11 + 8x + -4y = 8x + -13

Reorder the terms:
11 + 8x + -4y = -13 + 8x

Add '-8x' to each side of the equation.
11 + 8x + -8x + -4y = -13 + 8x + -8x

Combine like terms: 8x + -8x = 0
11 + 0 + -4y = -13 + 8x + -8x
11 + -4y = -13 + 8x + -8x

Combine like terms: 8x + -8x = 0
11 + -4y = -13 + 0
11 + -4y = -13

Solving
11 + -4y = -13

Solving for variable 'y'.

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

Add '-11' to each side of the equation.
11 + -11 + -4y = -13 + -11

Combine like terms: 11 + -11 = 0
0 + -4y = -13 + -11
-4y = -13 + -11

Combine like terms: -13 + -11 = -24
-4y = -24

Divide each side by '-4'.
y = 6

Simplifying
y = 6

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