49+3y-17=11y-10-2y

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Solution for 49+3y-17=11y-10-2y equation:


Simplifying
49 + 3y + -17 = 11y + -10 + -2y

Reorder the terms:
49 + -17 + 3y = 11y + -10 + -2y

Combine like terms: 49 + -17 = 32
32 + 3y = 11y + -10 + -2y

Reorder the terms:
32 + 3y = -10 + 11y + -2y

Combine like terms: 11y + -2y = 9y
32 + 3y = -10 + 9y

Solving
32 + 3y = -10 + 9y

Solving for variable 'y'.

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

Add '-9y' to each side of the equation.
32 + 3y + -9y = -10 + 9y + -9y

Combine like terms: 3y + -9y = -6y
32 + -6y = -10 + 9y + -9y

Combine like terms: 9y + -9y = 0
32 + -6y = -10 + 0
32 + -6y = -10

Add '-32' to each side of the equation.
32 + -32 + -6y = -10 + -32

Combine like terms: 32 + -32 = 0
0 + -6y = -10 + -32
-6y = -10 + -32

Combine like terms: -10 + -32 = -42
-6y = -42

Divide each side by '-6'.
y = 7

Simplifying
y = 7

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