3x+2(y-1)=4(y+2)-(y+5)

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Solution for 3x+2(y-1)=4(y+2)-(y+5) equation:


Simplifying
3x + 2(y + -1) = 4(y + 2) + -1(y + 5)

Reorder the terms:
3x + 2(-1 + y) = 4(y + 2) + -1(y + 5)
3x + (-1 * 2 + y * 2) = 4(y + 2) + -1(y + 5)
3x + (-2 + 2y) = 4(y + 2) + -1(y + 5)

Reorder the terms:
-2 + 3x + 2y = 4(y + 2) + -1(y + 5)

Reorder the terms:
-2 + 3x + 2y = 4(2 + y) + -1(y + 5)
-2 + 3x + 2y = (2 * 4 + y * 4) + -1(y + 5)
-2 + 3x + 2y = (8 + 4y) + -1(y + 5)

Reorder the terms:
-2 + 3x + 2y = 8 + 4y + -1(5 + y)
-2 + 3x + 2y = 8 + 4y + (5 * -1 + y * -1)
-2 + 3x + 2y = 8 + 4y + (-5 + -1y)

Reorder the terms:
-2 + 3x + 2y = 8 + -5 + 4y + -1y

Combine like terms: 8 + -5 = 3
-2 + 3x + 2y = 3 + 4y + -1y

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

Solving
-2 + 3x + 2y = 3 + 3y

Solving for variable 'x'.

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

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

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

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

Combine like terms: 3 + 2 = 5
3x + 2y = 5 + 3y

Add '-2y' to each side of the equation.
3x + 2y + -2y = 5 + 3y + -2y

Combine like terms: 2y + -2y = 0
3x + 0 = 5 + 3y + -2y
3x = 5 + 3y + -2y

Combine like terms: 3y + -2y = 1y
3x = 5 + 1y

Divide each side by '3'.
x = 1.666666667 + 0.3333333333y

Simplifying
x = 1.666666667 + 0.3333333333y

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