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

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


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

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

Reorder the terms:
9 + 5y = 3(-5 + y) + 7
9 + 5y = (-5 * 3 + y * 3) + 7
9 + 5y = (-15 + 3y) + 7

Reorder the terms:
9 + 5y = -15 + 7 + 3y

Combine like terms: -15 + 7 = -8
9 + 5y = -8 + 3y

Solving
9 + 5y = -8 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
9 + 5y + -3y = -8 + 3y + -3y

Combine like terms: 5y + -3y = 2y
9 + 2y = -8 + 3y + -3y

Combine like terms: 3y + -3y = 0
9 + 2y = -8 + 0
9 + 2y = -8

Add '-9' to each side of the equation.
9 + -9 + 2y = -8 + -9

Combine like terms: 9 + -9 = 0
0 + 2y = -8 + -9
2y = -8 + -9

Combine like terms: -8 + -9 = -17
2y = -17

Divide each side by '2'.
y = -8.5

Simplifying
y = -8.5

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