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y=\frac{2\left(x+1\right)}{4}-\frac{-2x+2}{4}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 2 and 4 is 4. Multiply \frac{x+1}{2} times \frac{2}{2}.
y=\frac{2\left(x+1\right)-\left(-2x+2\right)}{4}
Since \frac{2\left(x+1\right)}{4} and \frac{-2x+2}{4} have the same denominator, subtract them by subtracting their numerators.
y=\frac{2x+2+2x-2}{4}
Do the multiplications in 2\left(x+1\right)-\left(-2x+2\right).
y=\frac{4x}{4}
Combine like terms in 2x+2+2x-2.
y=x
Cancel out 4 and 4.
x=y
Swap sides so that all variable terms are on the left hand side.
y=\frac{2\left(x+1\right)}{4}-\frac{-2x+2}{4}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 2 and 4 is 4. Multiply \frac{x+1}{2} times \frac{2}{2}.
y=\frac{2\left(x+1\right)-\left(-2x+2\right)}{4}
Since \frac{2\left(x+1\right)}{4} and \frac{-2x+2}{4} have the same denominator, subtract them by subtracting their numerators.
y=\frac{2x+2+2x-2}{4}
Do the multiplications in 2\left(x+1\right)-\left(-2x+2\right).
y=\frac{4x}{4}
Combine like terms in 2x+2+2x-2.
y=x
Cancel out 4 and 4.