4(x+1)-7=2(y-1)+3

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Solution for 4(x+1)-7=2(y-1)+3 equation:


Simplifying
4(x + 1) + -7 = 2(y + -1) + 3

Reorder the terms:
4(1 + x) + -7 = 2(y + -1) + 3
(1 * 4 + x * 4) + -7 = 2(y + -1) + 3
(4 + 4x) + -7 = 2(y + -1) + 3

Reorder the terms:
4 + -7 + 4x = 2(y + -1) + 3

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

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

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

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

Solving
-3 + 4x = 1 + 2y

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + 3 + 4x = 1 + 3 + 2y

Combine like terms: -3 + 3 = 0
0 + 4x = 1 + 3 + 2y
4x = 1 + 3 + 2y

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

Divide each side by '4'.
x = 1 + 0.5y

Simplifying
x = 1 + 0.5y

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