3y+4=y-10

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Solution for 3y+4=y-10 equation:


Simplifying
3y + 4 = y + -10

Reorder the terms:
4 + 3y = y + -10

Reorder the terms:
4 + 3y = -10 + y

Solving
4 + 3y = -10 + y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
4 + 3y + -1y = -10 + y + -1y

Combine like terms: 3y + -1y = 2y
4 + 2y = -10 + y + -1y

Combine like terms: y + -1y = 0
4 + 2y = -10 + 0
4 + 2y = -10

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

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

Combine like terms: -10 + -4 = -14
2y = -14

Divide each side by '2'.
y = -7

Simplifying
y = -7

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