7y+10=3y+2

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Solution for 7y+10=3y+2 equation:


Simplifying
7y + 10 = 3y + 2

Reorder the terms:
10 + 7y = 3y + 2

Reorder the terms:
10 + 7y = 2 + 3y

Solving
10 + 7y = 2 + 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.
10 + 7y + -3y = 2 + 3y + -3y

Combine like terms: 7y + -3y = 4y
10 + 4y = 2 + 3y + -3y

Combine like terms: 3y + -3y = 0
10 + 4y = 2 + 0
10 + 4y = 2

Add '-10' to each side of the equation.
10 + -10 + 4y = 2 + -10

Combine like terms: 10 + -10 = 0
0 + 4y = 2 + -10
4y = 2 + -10

Combine like terms: 2 + -10 = -8
4y = -8

Divide each side by '4'.
y = -2

Simplifying
y = -2

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