11(y+1)=4(y-12)+38

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Solution for 11(y+1)=4(y-12)+38 equation: 


Simplifying
11(y + 1) = 4(y + -12) + 38

Reorder the terms:
11(1 + y) = 4(y + -12) + 38
(1 * 11 + y * 11) = 4(y + -12) + 38
(11 + 11y) = 4(y + -12) + 38

Reorder the terms:
11 + 11y = 4(-12 + y) + 38
11 + 11y = (-12 * 4 + y * 4) + 38
11 + 11y = (-48 + 4y) + 38

Reorder the terms:
11 + 11y = -48 + 38 + 4y

Combine like terms: -48 + 38 = -10
11 + 11y = -10 + 4y

Solving
11 + 11y = -10 + 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.
11 + 11y + -4y = -10 + 4y + -4y

Combine like terms: 11y + -4y = 7y
11 + 7y = -10 + 4y + -4y

Combine like terms: 4y + -4y = 0
11 + 7y = -10 + 0
11 + 7y = -10

Add '-11' to each side of the equation.
11 + -11 + 7y = -10 + -11

Combine like terms: 11 + -11 = 0
0 + 7y = -10 + -11
7y = -10 + -11

Combine like terms: -10 + -11 = -21
7y = -21

Divide each side by '7'.
y = -3

Simplifying
y = -3

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