8y-7(3)+3=-4(3)+5y-9

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Solution for 8y-7(3)+3=-4(3)+5y-9 equation:


Simplifying
8y + -7(3) + 3 = -4(3) + 5y + -9

Multiply -7 * 3
8y + -21 + 3 = -4(3) + 5y + -9

Reorder the terms:
-21 + 3 + 8y = -4(3) + 5y + -9

Combine like terms: -21 + 3 = -18
-18 + 8y = -4(3) + 5y + -9

Multiply -4 * 3
-18 + 8y = -12 + 5y + -9

Reorder the terms:
-18 + 8y = -12 + -9 + 5y

Combine like terms: -12 + -9 = -21
-18 + 8y = -21 + 5y

Solving
-18 + 8y = -21 + 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.
-18 + 8y + -5y = -21 + 5y + -5y

Combine like terms: 8y + -5y = 3y
-18 + 3y = -21 + 5y + -5y

Combine like terms: 5y + -5y = 0
-18 + 3y = -21 + 0
-18 + 3y = -21

Add '18' to each side of the equation.
-18 + 18 + 3y = -21 + 18

Combine like terms: -18 + 18 = 0
0 + 3y = -21 + 18
3y = -21 + 18

Combine like terms: -21 + 18 = -3
3y = -3

Divide each side by '3'.
y = -1

Simplifying
y = -1

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