7y+19=10y-14

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Solution for 7y+19=10y-14 equation:


Simplifying
7y + 19 = 10y + -14

Reorder the terms:
19 + 7y = 10y + -14

Reorder the terms:
19 + 7y = -14 + 10y

Solving
19 + 7y = -14 + 10y

Solving for variable 'y'.

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

Add '-10y' to each side of the equation.
19 + 7y + -10y = -14 + 10y + -10y

Combine like terms: 7y + -10y = -3y
19 + -3y = -14 + 10y + -10y

Combine like terms: 10y + -10y = 0
19 + -3y = -14 + 0
19 + -3y = -14

Add '-19' to each side of the equation.
19 + -19 + -3y = -14 + -19

Combine like terms: 19 + -19 = 0
0 + -3y = -14 + -19
-3y = -14 + -19

Combine like terms: -14 + -19 = -33
-3y = -33

Divide each side by '-3'.
y = 11

Simplifying
y = 11

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