9(y+6)-2(y-4)=3(y-5)

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Solution for 9(y+6)-2(y-4)=3(y-5) equation:


Simplifying
9(y + 6) + -2(y + -4) = 3(y + -5)

Reorder the terms:
9(6 + y) + -2(y + -4) = 3(y + -5)
(6 * 9 + y * 9) + -2(y + -4) = 3(y + -5)
(54 + 9y) + -2(y + -4) = 3(y + -5)

Reorder the terms:
54 + 9y + -2(-4 + y) = 3(y + -5)
54 + 9y + (-4 * -2 + y * -2) = 3(y + -5)
54 + 9y + (8 + -2y) = 3(y + -5)

Reorder the terms:
54 + 8 + 9y + -2y = 3(y + -5)

Combine like terms: 54 + 8 = 62
62 + 9y + -2y = 3(y + -5)

Combine like terms: 9y + -2y = 7y
62 + 7y = 3(y + -5)

Reorder the terms:
62 + 7y = 3(-5 + y)
62 + 7y = (-5 * 3 + y * 3)
62 + 7y = (-15 + 3y)

Solving
62 + 7y = -15 + 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.
62 + 7y + -3y = -15 + 3y + -3y

Combine like terms: 7y + -3y = 4y
62 + 4y = -15 + 3y + -3y

Combine like terms: 3y + -3y = 0
62 + 4y = -15 + 0
62 + 4y = -15

Add '-62' to each side of the equation.
62 + -62 + 4y = -15 + -62

Combine like terms: 62 + -62 = 0
0 + 4y = -15 + -62
4y = -15 + -62

Combine like terms: -15 + -62 = -77
4y = -77

Divide each side by '4'.
y = -19.25

Simplifying
y = -19.25

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