7(y+6)-3(y-8)=86

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Solution for 7(y+6)-3(y-8)=86 equation: 


Simplifying
7(y + 6) + -3(y + -8) = 86

Reorder the terms:
7(6 + y) + -3(y + -8) = 86
(6 * 7 + y * 7) + -3(y + -8) = 86
(42 + 7y) + -3(y + -8) = 86

Reorder the terms:
42 + 7y + -3(-8 + y) = 86
42 + 7y + (-8 * -3 + y * -3) = 86
42 + 7y + (24 + -3y) = 86

Reorder the terms:
42 + 24 + 7y + -3y = 86

Combine like terms: 42 + 24 = 66
66 + 7y + -3y = 86

Combine like terms: 7y + -3y = 4y
66 + 4y = 86

Solving
66 + 4y = 86

Solving for variable 'y'.

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

Add '-66' to each side of the equation.
66 + -66 + 4y = 86 + -66

Combine like terms: 66 + -66 = 0
0 + 4y = 86 + -66
4y = 86 + -66

Combine like terms: 86 + -66 = 20
4y = 20

Divide each side by '4'.
y = 5

Simplifying
y = 5

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