32-(3y)=(6y)-13

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Solution for 32-(3y)=(6y)-13 equation: 


Simplifying
32 + -1(3y) = (6y) + -13

Remove parenthesis around (3y)
32 + -1 * 3y = (6y) + -13

Multiply -1 * 3
32 + -3y = (6y) + -13

Reorder the terms:
32 + -3y = -13 + (6y)

Solving
32 + -3y = -13 + (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.
32 + -3y + (-6y) = -13 + (6y) + (-6y)

Combine like terms: -3y + (-6y) = -9y
32 + -9y = -13 + (6y) + (-6y)

Combine like terms: (6y) + (-6y) = 0
32 + -9y = -13 + 0
32 + -9y = -13

Add '-32' to each side of the equation.
32 + -32 + -9y = -13 + -32

Combine like terms: 32 + -32 = 0
0 + -9y = -13 + -32
-9y = -13 + -32

Combine like terms: -13 + -32 = -45
-9y = -45

Divide each side by '-9'.
y = 5

Simplifying
y = 5

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