9y+3=6(y-7)

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Solution for 9y+3=6(y-7) equation:


Simplifying
9y + 3 = 6(y + -7)

Reorder the terms:
3 + 9y = 6(y + -7)

Reorder the terms:
3 + 9y = 6(-7 + y)
3 + 9y = (-7 * 6 + y * 6)
3 + 9y = (-42 + 6y)

Solving
3 + 9y = -42 + 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
3 + 9y + -6y = -42 + 6y + -6y

Combine like terms: 9y + -6y = 3y
3 + 3y = -42 + 6y + -6y

Combine like terms: 6y + -6y = 0
3 + 3y = -42 + 0
3 + 3y = -42

Add '-3' to each side of the equation.
3 + -3 + 3y = -42 + -3

Combine like terms: 3 + -3 = 0
0 + 3y = -42 + -3
3y = -42 + -3

Combine like terms: -42 + -3 = -45
3y = -45

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

Simplifying
y = -15

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