-56+3y+6=2(4y-5)-5

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Solution for -56+3y+6=2(4y-5)-5 equation:


Simplifying
-56 + 3y + 6 = 2(4y + -5) + -5

Reorder the terms:
-56 + 6 + 3y = 2(4y + -5) + -5

Combine like terms: -56 + 6 = -50
-50 + 3y = 2(4y + -5) + -5

Reorder the terms:
-50 + 3y = 2(-5 + 4y) + -5
-50 + 3y = (-5 * 2 + 4y * 2) + -5
-50 + 3y = (-10 + 8y) + -5

Reorder the terms:
-50 + 3y = -10 + -5 + 8y

Combine like terms: -10 + -5 = -15
-50 + 3y = -15 + 8y

Solving
-50 + 3y = -15 + 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.
-50 + 3y + -8y = -15 + 8y + -8y

Combine like terms: 3y + -8y = -5y
-50 + -5y = -15 + 8y + -8y

Combine like terms: 8y + -8y = 0
-50 + -5y = -15 + 0
-50 + -5y = -15

Add '50' to each side of the equation.
-50 + 50 + -5y = -15 + 50

Combine like terms: -50 + 50 = 0
0 + -5y = -15 + 50
-5y = -15 + 50

Combine like terms: -15 + 50 = 35
-5y = 35

Divide each side by '-5'.
y = -7

Simplifying
y = -7

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