-11(y+1)+4(4y-5)=4(y-4)+13

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Solution for -11(y+1)+4(4y-5)=4(y-4)+13 equation:


Simplifying
-11(y + 1) + 4(4y + -5) = 4(y + -4) + 13

Reorder the terms:
-11(1 + y) + 4(4y + -5) = 4(y + -4) + 13
(1 * -11 + y * -11) + 4(4y + -5) = 4(y + -4) + 13
(-11 + -11y) + 4(4y + -5) = 4(y + -4) + 13

Reorder the terms:
-11 + -11y + 4(-5 + 4y) = 4(y + -4) + 13
-11 + -11y + (-5 * 4 + 4y * 4) = 4(y + -4) + 13
-11 + -11y + (-20 + 16y) = 4(y + -4) + 13

Reorder the terms:
-11 + -20 + -11y + 16y = 4(y + -4) + 13

Combine like terms: -11 + -20 = -31
-31 + -11y + 16y = 4(y + -4) + 13

Combine like terms: -11y + 16y = 5y
-31 + 5y = 4(y + -4) + 13

Reorder the terms:
-31 + 5y = 4(-4 + y) + 13
-31 + 5y = (-4 * 4 + y * 4) + 13
-31 + 5y = (-16 + 4y) + 13

Reorder the terms:
-31 + 5y = -16 + 13 + 4y

Combine like terms: -16 + 13 = -3
-31 + 5y = -3 + 4y

Solving
-31 + 5y = -3 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
-31 + 5y + -4y = -3 + 4y + -4y

Combine like terms: 5y + -4y = 1y
-31 + 1y = -3 + 4y + -4y

Combine like terms: 4y + -4y = 0
-31 + 1y = -3 + 0
-31 + 1y = -3

Add '31' to each side of the equation.
-31 + 31 + 1y = -3 + 31

Combine like terms: -31 + 31 = 0
0 + 1y = -3 + 31
1y = -3 + 31

Combine like terms: -3 + 31 = 28
1y = 28

Divide each side by '1'.
y = 28

Simplifying
y = 28

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