(9y-14)-(5y+2)=-8

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Solution for (9y-14)-(5y+2)=-8 equation:


Simplifying
(9y + -14) + -1(5y + 2) = -8

Reorder the terms:
(-14 + 9y) + -1(5y + 2) = -8

Remove parenthesis around (-14 + 9y)
-14 + 9y + -1(5y + 2) = -8

Reorder the terms:
-14 + 9y + -1(2 + 5y) = -8
-14 + 9y + (2 * -1 + 5y * -1) = -8
-14 + 9y + (-2 + -5y) = -8

Reorder the terms:
-14 + -2 + 9y + -5y = -8

Combine like terms: -14 + -2 = -16
-16 + 9y + -5y = -8

Combine like terms: 9y + -5y = 4y
-16 + 4y = -8

Solving
-16 + 4y = -8

Solving for variable 'y'.

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

Add '16' to each side of the equation.
-16 + 16 + 4y = -8 + 16

Combine like terms: -16 + 16 = 0
0 + 4y = -8 + 16
4y = -8 + 16

Combine like terms: -8 + 16 = 8
4y = 8

Divide each side by '4'.
y = 2

Simplifying
y = 2

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