7(y+4)=-8y-17

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Solution for 7(y+4)=-8y-17 equation:


Simplifying
7(y + 4) = -8y + -17

Reorder the terms:
7(4 + y) = -8y + -17
(4 * 7 + y * 7) = -8y + -17
(28 + 7y) = -8y + -17

Reorder the terms:
28 + 7y = -17 + -8y

Solving
28 + 7y = -17 + -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.
28 + 7y + 8y = -17 + -8y + 8y

Combine like terms: 7y + 8y = 15y
28 + 15y = -17 + -8y + 8y

Combine like terms: -8y + 8y = 0
28 + 15y = -17 + 0
28 + 15y = -17

Add '-28' to each side of the equation.
28 + -28 + 15y = -17 + -28

Combine like terms: 28 + -28 = 0
0 + 15y = -17 + -28
15y = -17 + -28

Combine like terms: -17 + -28 = -45
15y = -45

Divide each side by '15'.
y = -3

Simplifying
y = -3

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