9y-3(6-57)=y-2(3y+9)

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Solution for 9y-3(6-57)=y-2(3y+9) equation:


Simplifying
9y + -3(6 + -57) = y + -2(3y + 9)

Combine like terms: 6 + -57 = -51
9y + -3(-51) = y + -2(3y + 9)

Multiply -3 * -51
9y + 153 = y + -2(3y + 9)

Reorder the terms:
153 + 9y = y + -2(3y + 9)

Reorder the terms:
153 + 9y = y + -2(9 + 3y)
153 + 9y = y + (9 * -2 + 3y * -2)
153 + 9y = y + (-18 + -6y)

Reorder the terms:
153 + 9y = -18 + y + -6y

Combine like terms: y + -6y = -5y
153 + 9y = -18 + -5y

Solving
153 + 9y = -18 + -5y

Solving for variable 'y'.

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

Add '5y' to each side of the equation.
153 + 9y + 5y = -18 + -5y + 5y

Combine like terms: 9y + 5y = 14y
153 + 14y = -18 + -5y + 5y

Combine like terms: -5y + 5y = 0
153 + 14y = -18 + 0
153 + 14y = -18

Add '-153' to each side of the equation.
153 + -153 + 14y = -18 + -153

Combine like terms: 153 + -153 = 0
0 + 14y = -18 + -153
14y = -18 + -153

Combine like terms: -18 + -153 = -171
14y = -171

Divide each side by '14'.
y = -12.21428571

Simplifying
y = -12.21428571

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