6(7-y)+4=-4(y-3)-11

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Solution for 6(7-y)+4=-4(y-3)-11 equation: 


Simplifying
6(7 + -1y) + 4 = -4(y + -3) + -11
(7 * 6 + -1y * 6) + 4 = -4(y + -3) + -11
(42 + -6y) + 4 = -4(y + -3) + -11

Reorder the terms:
42 + 4 + -6y = -4(y + -3) + -11

Combine like terms: 42 + 4 = 46
46 + -6y = -4(y + -3) + -11

Reorder the terms:
46 + -6y = -4(-3 + y) + -11
46 + -6y = (-3 * -4 + y * -4) + -11
46 + -6y = (12 + -4y) + -11

Reorder the terms:
46 + -6y = 12 + -11 + -4y

Combine like terms: 12 + -11 = 1
46 + -6y = 1 + -4y

Solving
46 + -6y = 1 + -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.
46 + -6y + 4y = 1 + -4y + 4y

Combine like terms: -6y + 4y = -2y
46 + -2y = 1 + -4y + 4y

Combine like terms: -4y + 4y = 0
46 + -2y = 1 + 0
46 + -2y = 1

Add '-46' to each side of the equation.
46 + -46 + -2y = 1 + -46

Combine like terms: 46 + -46 = 0
0 + -2y = 1 + -46
-2y = 1 + -46

Combine like terms: 1 + -46 = -45
-2y = -45

Divide each side by '-2'.
y = 22.5

Simplifying
y = 22.5

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