9y-(3y+8-5)=7-(-8)

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Solution for 9y-(3y+8-5)=7-(-8) equation:


Simplifying
9y + -1(3y + 8 + -5) = 7 + -1(-8)

Reorder the terms:
9y + -1(8 + -5 + 3y) = 7 + -1(-8)

Combine like terms: 8 + -5 = 3
9y + -1(3 + 3y) = 7 + -1(-8)
9y + (3 * -1 + 3y * -1) = 7 + -1(-8)
9y + (-3 + -3y) = 7 + -1(-8)

Reorder the terms:
-3 + 9y + -3y = 7 + -1(-8)

Combine like terms: 9y + -3y = 6y
-3 + 6y = 7 + -1(-8)

Multiply -1 * -8
-3 + 6y = 7 + 8

Combine like terms: 7 + 8 = 15
-3 + 6y = 15

Solving
-3 + 6y = 15

Solving for variable 'y'.

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

Add '3' to each side of the equation.
-3 + 3 + 6y = 15 + 3

Combine like terms: -3 + 3 = 0
0 + 6y = 15 + 3
6y = 15 + 3

Combine like terms: 15 + 3 = 18
6y = 18

Divide each side by '6'.
y = 3

Simplifying
y = 3

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