3y+4=7y-8

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Solution for 3y+4=7y-8 equation:


Simplifying
3y + 4 = 7y + -8

Reorder the terms:
4 + 3y = 7y + -8

Reorder the terms:
4 + 3y = -8 + 7y

Solving
4 + 3y = -8 + 7y

Solving for variable 'y'.

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

Add '-7y' to each side of the equation.
4 + 3y + -7y = -8 + 7y + -7y

Combine like terms: 3y + -7y = -4y
4 + -4y = -8 + 7y + -7y

Combine like terms: 7y + -7y = 0
4 + -4y = -8 + 0
4 + -4y = -8

Add '-4' to each side of the equation.
4 + -4 + -4y = -8 + -4

Combine like terms: 4 + -4 = 0
0 + -4y = -8 + -4
-4y = -8 + -4

Combine like terms: -8 + -4 = -12
-4y = -12

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

Simplifying
y = 3

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