7y-4=10y+14

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Solution for 7y-4=10y+14 equation:


Simplifying
7y + -4 = 10y + 14

Reorder the terms:
-4 + 7y = 10y + 14

Reorder the terms:
-4 + 7y = 14 + 10y

Solving
-4 + 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.
-4 + 7y + -10y = 14 + 10y + -10y

Combine like terms: 7y + -10y = -3y
-4 + -3y = 14 + 10y + -10y

Combine like terms: 10y + -10y = 0
-4 + -3y = 14 + 0
-4 + -3y = 14

Add '4' to each side of the equation.
-4 + 4 + -3y = 14 + 4

Combine like terms: -4 + 4 = 0
0 + -3y = 14 + 4
-3y = 14 + 4

Combine like terms: 14 + 4 = 18
-3y = 18

Divide each side by '-3'.
y = -6

Simplifying
y = -6

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