3(x+2)-4(y-1)=16

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Solution for 3(x+2)-4(y-1)=16 equation: 


Simplifying
3(x + 2) + -4(y + -1) = 16

Reorder the terms:
3(2 + x) + -4(y + -1) = 16
(2 * 3 + x * 3) + -4(y + -1) = 16
(6 + 3x) + -4(y + -1) = 16

Reorder the terms:
6 + 3x + -4(-1 + y) = 16
6 + 3x + (-1 * -4 + y * -4) = 16
6 + 3x + (4 + -4y) = 16

Reorder the terms:
6 + 4 + 3x + -4y = 16

Combine like terms: 6 + 4 = 10
10 + 3x + -4y = 16

Solving
10 + 3x + -4y = 16

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + 3x + -10 + -4y = 16 + -10

Reorder the terms:
10 + -10 + 3x + -4y = 16 + -10

Combine like terms: 10 + -10 = 0
0 + 3x + -4y = 16 + -10
3x + -4y = 16 + -10

Combine like terms: 16 + -10 = 6
3x + -4y = 6

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

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

Divide each side by '3'.
x = 2 + 1.333333333y

Simplifying
x = 2 + 1.333333333y

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