-6+7(y+4)=5(3y-7)+7

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Solution for -6+7(y+4)=5(3y-7)+7 equation: 


Simplifying
-6 + 7(y + 4) = 5(3y + -7) + 7

Reorder the terms:
-6 + 7(4 + y) = 5(3y + -7) + 7
-6 + (4 * 7 + y * 7) = 5(3y + -7) + 7
-6 + (28 + 7y) = 5(3y + -7) + 7

Combine like terms: -6 + 28 = 22
22 + 7y = 5(3y + -7) + 7

Reorder the terms:
22 + 7y = 5(-7 + 3y) + 7
22 + 7y = (-7 * 5 + 3y * 5) + 7
22 + 7y = (-35 + 15y) + 7

Reorder the terms:
22 + 7y = -35 + 7 + 15y

Combine like terms: -35 + 7 = -28
22 + 7y = -28 + 15y

Solving
22 + 7y = -28 + 15y

Solving for variable 'y'.

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

Add '-15y' to each side of the equation.
22 + 7y + -15y = -28 + 15y + -15y

Combine like terms: 7y + -15y = -8y
22 + -8y = -28 + 15y + -15y

Combine like terms: 15y + -15y = 0
22 + -8y = -28 + 0
22 + -8y = -28

Add '-22' to each side of the equation.
22 + -22 + -8y = -28 + -22

Combine like terms: 22 + -22 = 0
0 + -8y = -28 + -22
-8y = -28 + -22

Combine like terms: -28 + -22 = -50
-8y = -50

Divide each side by '-8'.
y = 6.25

Simplifying
y = 6.25

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