7y-6=3y+10

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Solution for 7y-6=3y+10 equation:


Simplifying
7y + -6 = 3y + 10

Reorder the terms:
-6 + 7y = 3y + 10

Reorder the terms:
-6 + 7y = 10 + 3y

Solving
-6 + 7y = 10 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
-6 + 7y + -3y = 10 + 3y + -3y

Combine like terms: 7y + -3y = 4y
-6 + 4y = 10 + 3y + -3y

Combine like terms: 3y + -3y = 0
-6 + 4y = 10 + 0
-6 + 4y = 10

Add '6' to each side of the equation.
-6 + 6 + 4y = 10 + 6

Combine like terms: -6 + 6 = 0
0 + 4y = 10 + 6
4y = 10 + 6

Combine like terms: 10 + 6 = 16
4y = 16

Divide each side by '4'.
y = 4

Simplifying
y = 4

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