8-(y+1)=9-(2y-1)

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Solution for 8-(y+1)=9-(2y-1) equation:


Simplifying
8 + -1(y + 1) = 9 + -1(2y + -1)

Reorder the terms:
8 + -1(1 + y) = 9 + -1(2y + -1)
8 + (1 * -1 + y * -1) = 9 + -1(2y + -1)
8 + (-1 + -1y) = 9 + -1(2y + -1)

Combine like terms: 8 + -1 = 7
7 + -1y = 9 + -1(2y + -1)

Reorder the terms:
7 + -1y = 9 + -1(-1 + 2y)
7 + -1y = 9 + (-1 * -1 + 2y * -1)
7 + -1y = 9 + (1 + -2y)

Combine like terms: 9 + 1 = 10
7 + -1y = 10 + -2y

Solving
7 + -1y = 10 + -2y

Solving for variable 'y'.

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

Add '2y' to each side of the equation.
7 + -1y + 2y = 10 + -2y + 2y

Combine like terms: -1y + 2y = 1y
7 + 1y = 10 + -2y + 2y

Combine like terms: -2y + 2y = 0
7 + 1y = 10 + 0
7 + 1y = 10

Add '-7' to each side of the equation.
7 + -7 + 1y = 10 + -7

Combine like terms: 7 + -7 = 0
0 + 1y = 10 + -7
1y = 10 + -7

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

Divide each side by '1'.
y = 3

Simplifying
y = 3

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