-55+4y+6=2(4y-4)-5

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Solution for -55+4y+6=2(4y-4)-5 equation:


Simplifying
-55 + 4y + 6 = 2(4y + -4) + -5

Reorder the terms:
-55 + 6 + 4y = 2(4y + -4) + -5

Combine like terms: -55 + 6 = -49
-49 + 4y = 2(4y + -4) + -5

Reorder the terms:
-49 + 4y = 2(-4 + 4y) + -5
-49 + 4y = (-4 * 2 + 4y * 2) + -5
-49 + 4y = (-8 + 8y) + -5

Reorder the terms:
-49 + 4y = -8 + -5 + 8y

Combine like terms: -8 + -5 = -13
-49 + 4y = -13 + 8y

Solving
-49 + 4y = -13 + 8y

Solving for variable 'y'.

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

Add '-8y' to each side of the equation.
-49 + 4y + -8y = -13 + 8y + -8y

Combine like terms: 4y + -8y = -4y
-49 + -4y = -13 + 8y + -8y

Combine like terms: 8y + -8y = 0
-49 + -4y = -13 + 0
-49 + -4y = -13

Add '49' to each side of the equation.
-49 + 49 + -4y = -13 + 49

Combine like terms: -49 + 49 = 0
0 + -4y = -13 + 49
-4y = -13 + 49

Combine like terms: -13 + 49 = 36
-4y = 36

Divide each side by '-4'.
y = -9

Simplifying
y = -9

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