2y+34=11y-38

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Solution for 2y+34=11y-38 equation:


Simplifying
2y + 34 = 11y + -38

Reorder the terms:
34 + 2y = 11y + -38

Reorder the terms:
34 + 2y = -38 + 11y

Solving
34 + 2y = -38 + 11y

Solving for variable 'y'.

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

Add '-11y' to each side of the equation.
34 + 2y + -11y = -38 + 11y + -11y

Combine like terms: 2y + -11y = -9y
34 + -9y = -38 + 11y + -11y

Combine like terms: 11y + -11y = 0
34 + -9y = -38 + 0
34 + -9y = -38

Add '-34' to each side of the equation.
34 + -34 + -9y = -38 + -34

Combine like terms: 34 + -34 = 0
0 + -9y = -38 + -34
-9y = -38 + -34

Combine like terms: -38 + -34 = -72
-9y = -72

Divide each side by '-9'.
y = 8

Simplifying
y = 8

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