7y+2=3y-10

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


Simplifying
7y + 2 = 3y + -10

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

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

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

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

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

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

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

Combine like terms: -10 + -2 = -12
4y = -12

Divide each side by '4'.
y = -3

Simplifying
y = -3

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