7y-4=10y+15

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Solution for 7y-4=10y+15 equation:


Simplifying
7y + -4 = 10y + 15

Reorder the terms:
-4 + 7y = 10y + 15

Reorder the terms:
-4 + 7y = 15 + 10y

Solving
-4 + 7y = 15 + 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 = 15 + 10y + -10y

Combine like terms: 7y + -10y = -3y
-4 + -3y = 15 + 10y + -10y

Combine like terms: 10y + -10y = 0
-4 + -3y = 15 + 0
-4 + -3y = 15

Add '4' to each side of the equation.
-4 + 4 + -3y = 15 + 4

Combine like terms: -4 + 4 = 0
0 + -3y = 15 + 4
-3y = 15 + 4

Combine like terms: 15 + 4 = 19
-3y = 19

Divide each side by '-3'.
y = -6.333333333

Simplifying
y = -6.333333333

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