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

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


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

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

Reorder the terms:
-4 + 4x + -3(3 + y) = -1
-4 + 4x + (3 * -3 + y * -3) = -1
-4 + 4x + (-9 + -3y) = -1

Reorder the terms:
-4 + -9 + 4x + -3y = -1

Combine like terms: -4 + -9 = -13
-13 + 4x + -3y = -1

Solving
-13 + 4x + -3y = -1

Solving for variable 'x'.

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

Add '13' to each side of the equation.
-13 + 4x + 13 + -3y = -1 + 13

Reorder the terms:
-13 + 13 + 4x + -3y = -1 + 13

Combine like terms: -13 + 13 = 0
0 + 4x + -3y = -1 + 13
4x + -3y = -1 + 13

Combine like terms: -1 + 13 = 12
4x + -3y = 12

Add '3y' to each side of the equation.
4x + -3y + 3y = 12 + 3y

Combine like terms: -3y + 3y = 0
4x + 0 = 12 + 3y
4x = 12 + 3y

Divide each side by '4'.
x = 3 + 0.75y

Simplifying
x = 3 + 0.75y

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