10y-2=17y+33

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Solution for 10y-2=17y+33 equation:


Simplifying
10y + -2 = 17y + 33

Reorder the terms:
-2 + 10y = 17y + 33

Reorder the terms:
-2 + 10y = 33 + 17y

Solving
-2 + 10y = 33 + 17y

Solving for variable 'y'.

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

Add '-17y' to each side of the equation.
-2 + 10y + -17y = 33 + 17y + -17y

Combine like terms: 10y + -17y = -7y
-2 + -7y = 33 + 17y + -17y

Combine like terms: 17y + -17y = 0
-2 + -7y = 33 + 0
-2 + -7y = 33

Add '2' to each side of the equation.
-2 + 2 + -7y = 33 + 2

Combine like terms: -2 + 2 = 0
0 + -7y = 33 + 2
-7y = 33 + 2

Combine like terms: 33 + 2 = 35
-7y = 35

Divide each side by '-7'.
y = -5

Simplifying
y = -5

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