3y+5=55-4y

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Solution for 3y+5=55-4y equation:


Simplifying
3y + 5 = 55 + -4y

Reorder the terms:
5 + 3y = 55 + -4y

Solving
5 + 3y = 55 + -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.
5 + 3y + 4y = 55 + -4y + 4y

Combine like terms: 3y + 4y = 7y
5 + 7y = 55 + -4y + 4y

Combine like terms: -4y + 4y = 0
5 + 7y = 55 + 0
5 + 7y = 55

Add '-5' to each side of the equation.
5 + -5 + 7y = 55 + -5

Combine like terms: 5 + -5 = 0
0 + 7y = 55 + -5
7y = 55 + -5

Combine like terms: 55 + -5 = 50
7y = 50

Divide each side by '7'.
y = 7.142857143

Simplifying
y = 7.142857143

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