45+3y-17=11y-14-2y

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Solution for 45+3y-17=11y-14-2y equation:


Simplifying
45 + 3y + -17 = 11y + -14 + -2y

Reorder the terms:
45 + -17 + 3y = 11y + -14 + -2y

Combine like terms: 45 + -17 = 28
28 + 3y = 11y + -14 + -2y

Reorder the terms:
28 + 3y = -14 + 11y + -2y

Combine like terms: 11y + -2y = 9y
28 + 3y = -14 + 9y

Solving
28 + 3y = -14 + 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.
28 + 3y + -9y = -14 + 9y + -9y

Combine like terms: 3y + -9y = -6y
28 + -6y = -14 + 9y + -9y

Combine like terms: 9y + -9y = 0
28 + -6y = -14 + 0
28 + -6y = -14

Add '-28' to each side of the equation.
28 + -28 + -6y = -14 + -28

Combine like terms: 28 + -28 = 0
0 + -6y = -14 + -28
-6y = -14 + -28

Combine like terms: -14 + -28 = -42
-6y = -42

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

Simplifying
y = 7

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