2(x+2)+3y=2(x+1)+1

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Solution for 2(x+2)+3y=2(x+1)+1 equation: 


Simplifying
2(x + 2) + 3y = 2(x + 1) + 1

Reorder the terms:
2(2 + x) + 3y = 2(x + 1) + 1
(2 * 2 + x * 2) + 3y = 2(x + 1) + 1
(4 + 2x) + 3y = 2(x + 1) + 1

Reorder the terms:
4 + 2x + 3y = 2(1 + x) + 1
4 + 2x + 3y = (1 * 2 + x * 2) + 1
4 + 2x + 3y = (2 + 2x) + 1

Reorder the terms:
4 + 2x + 3y = 2 + 1 + 2x

Combine like terms: 2 + 1 = 3
4 + 2x + 3y = 3 + 2x

Add '-2x' to each side of the equation.
4 + 2x + -2x + 3y = 3 + 2x + -2x

Combine like terms: 2x + -2x = 0
4 + 0 + 3y = 3 + 2x + -2x
4 + 3y = 3 + 2x + -2x

Combine like terms: 2x + -2x = 0
4 + 3y = 3 + 0
4 + 3y = 3

Solving
4 + 3y = 3

Solving for variable 'y'.

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

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

Combine like terms: 4 + -4 = 0
0 + 3y = 3 + -4
3y = 3 + -4

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

Divide each side by '3'.
y = -0.3333333333

Simplifying
y = -0.3333333333

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