4y+7-1y=10-3y

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Solution for 4y+7-1y=10-3y equation:


Simplifying
4y + 7 + -1y = 10 + -3y

Reorder the terms:
7 + 4y + -1y = 10 + -3y

Combine like terms: 4y + -1y = 3y
7 + 3y = 10 + -3y

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

Combine like terms: 3y + 3y = 6y
7 + 6y = 10 + -3y + 3y

Combine like terms: -3y + 3y = 0
7 + 6y = 10 + 0
7 + 6y = 10

Add '-7' to each side of the equation.
7 + -7 + 6y = 10 + -7

Combine like terms: 7 + -7 = 0
0 + 6y = 10 + -7
6y = 10 + -7

Combine like terms: 10 + -7 = 3
6y = 3

Divide each side by '6'.
y = 0.5

Simplifying
y = 0.5

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