3(y+1)-4(x-2)=6

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Solution for 3(y+1)-4(x-2)=6 equation: 


Simplifying
3(y + 1) + -4(x + -2) = 6

Reorder the terms:
3(1 + y) + -4(x + -2) = 6
(1 * 3 + y * 3) + -4(x + -2) = 6
(3 + 3y) + -4(x + -2) = 6

Reorder the terms:
3 + 3y + -4(-2 + x) = 6
3 + 3y + (-2 * -4 + x * -4) = 6
3 + 3y + (8 + -4x) = 6

Reorder the terms:
3 + 8 + -4x + 3y = 6

Combine like terms: 3 + 8 = 11
11 + -4x + 3y = 6

Solving
11 + -4x + 3y = 6

Solving for variable 'x'.

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

Add '-11' to each side of the equation.
11 + -4x + -11 + 3y = 6 + -11

Reorder the terms:
11 + -11 + -4x + 3y = 6 + -11

Combine like terms: 11 + -11 = 0
0 + -4x + 3y = 6 + -11
-4x + 3y = 6 + -11

Combine like terms: 6 + -11 = -5
-4x + 3y = -5

Add '-3y' to each side of the equation.
-4x + 3y + -3y = -5 + -3y

Combine like terms: 3y + -3y = 0
-4x + 0 = -5 + -3y
-4x = -5 + -3y

Divide each side by '-4'.
x = 1.25 + 0.75y

Simplifying
x = 1.25 + 0.75y

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