8y-7(1)+3=-4(1)+5y-9

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Solution for 8y-7(1)+3=-4(1)+5y-9 equation:


Simplifying
8y + -7(1) + 3 = -4(1) + 5y + -9

Multiply -7 * 1
8y + -7 + 3 = -4(1) + 5y + -9

Reorder the terms:
-7 + 3 + 8y = -4(1) + 5y + -9

Combine like terms: -7 + 3 = -4
-4 + 8y = -4(1) + 5y + -9

Multiply -4 * 1
-4 + 8y = -4 + 5y + -9

Reorder the terms:
-4 + 8y = -4 + -9 + 5y

Combine like terms: -4 + -9 = -13
-4 + 8y = -13 + 5y

Solving
-4 + 8y = -13 + 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.
-4 + 8y + -5y = -13 + 5y + -5y

Combine like terms: 8y + -5y = 3y
-4 + 3y = -13 + 5y + -5y

Combine like terms: 5y + -5y = 0
-4 + 3y = -13 + 0
-4 + 3y = -13

Add '4' to each side of the equation.
-4 + 4 + 3y = -13 + 4

Combine like terms: -4 + 4 = 0
0 + 3y = -13 + 4
3y = -13 + 4

Combine like terms: -13 + 4 = -9
3y = -9

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

Simplifying
y = -3

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