3y+7=42-4y

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Solution for 3y+7=42-4y equation:


Simplifying
3y + 7 = 42 + -4y

Reorder the terms:
7 + 3y = 42 + -4y

Solving
7 + 3y = 42 + -4y

Solving for variable 'y'.

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

Add '4y' to each side of the equation.
7 + 3y + 4y = 42 + -4y + 4y

Combine like terms: 3y + 4y = 7y
7 + 7y = 42 + -4y + 4y

Combine like terms: -4y + 4y = 0
7 + 7y = 42 + 0
7 + 7y = 42

Add '-7' to each side of the equation.
7 + -7 + 7y = 42 + -7

Combine like terms: 7 + -7 = 0
0 + 7y = 42 + -7
7y = 42 + -7

Combine like terms: 42 + -7 = 35
7y = 35

Divide each side by '7'.
y = 5

Simplifying
y = 5

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