33=5(y+4)+8y

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Solution for 33=5(y+4)+8y equation:


Simplifying
33 = 5(y + 4) + 8y

Reorder the terms:
33 = 5(4 + y) + 8y
33 = (4 * 5 + y * 5) + 8y
33 = (20 + 5y) + 8y

Combine like terms: 5y + 8y = 13y
33 = 20 + 13y

Solving
33 = 20 + 13y

Solving for variable 'y'.

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

Add '-13y' to each side of the equation.
33 + -13y = 20 + 13y + -13y

Combine like terms: 13y + -13y = 0
33 + -13y = 20 + 0
33 + -13y = 20

Add '-33' to each side of the equation.
33 + -33 + -13y = 20 + -33

Combine like terms: 33 + -33 = 0
0 + -13y = 20 + -33
-13y = 20 + -33

Combine like terms: 20 + -33 = -13
-13y = -13

Divide each side by '-13'.
y = 1

Simplifying
y = 1

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