4(x-1)+y=3(y+1)

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Solution for 4(x-1)+y=3(y+1) equation:


Simplifying
4(x + -1) + y = 3(y + 1)

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

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

Solving
-4 + 4x + y = 3 + 3y

Solving for variable 'x'.

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

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

Reorder the terms:
-4 + 4 + 4x + y = 3 + 4 + 3y

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

Combine like terms: 3 + 4 = 7
4x + y = 7 + 3y

Add '-1y' to each side of the equation.
4x + y + -1y = 7 + 3y + -1y

Combine like terms: y + -1y = 0
4x + 0 = 7 + 3y + -1y
4x = 7 + 3y + -1y

Combine like terms: 3y + -1y = 2y
4x = 7 + 2y

Divide each side by '4'.
x = 1.75 + 0.5y

Simplifying
x = 1.75 + 0.5y

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