4y-7-9y=16+5y-33

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Solution for 4y-7-9y=16+5y-33 equation: 


Simplifying
4y + -7 + -9y = 16 + 5y + -33

Reorder the terms:
-7 + 4y + -9y = 16 + 5y + -33

Combine like terms: 4y + -9y = -5y
-7 + -5y = 16 + 5y + -33

Reorder the terms:
-7 + -5y = 16 + -33 + 5y

Combine like terms: 16 + -33 = -17
-7 + -5y = -17 + 5y

Solving
-7 + -5y = -17 + 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.
-7 + -5y + -5y = -17 + 5y + -5y

Combine like terms: -5y + -5y = -10y
-7 + -10y = -17 + 5y + -5y

Combine like terms: 5y + -5y = 0
-7 + -10y = -17 + 0
-7 + -10y = -17

Add '7' to each side of the equation.
-7 + 7 + -10y = -17 + 7

Combine like terms: -7 + 7 = 0
0 + -10y = -17 + 7
-10y = -17 + 7

Combine like terms: -17 + 7 = -10
-10y = -10

Divide each side by '-10'.
y = 1

Simplifying
y = 1

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