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

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


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

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

Combine like terms: 5y + -2y = 3y
-1 + 5x + 3y = 2(3 + -2y) + 5x
-1 + 5x + 3y = (3 * 2 + -2y * 2) + 5x
-1 + 5x + 3y = (6 + -4y) + 5x

Reorder the terms:
-1 + 5x + 3y = 6 + 5x + -4y

Add '-5x' to each side of the equation.
-1 + 5x + -5x + 3y = 6 + 5x + -5x + -4y

Combine like terms: 5x + -5x = 0
-1 + 0 + 3y = 6 + 5x + -5x + -4y
-1 + 3y = 6 + 5x + -5x + -4y

Combine like terms: 5x + -5x = 0
-1 + 3y = 6 + 0 + -4y
-1 + 3y = 6 + -4y

Solving
-1 + 3y = 6 + -4y

Solving for variable 'y'.

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

Add '4y' to each side of the equation.
-1 + 3y + 4y = 6 + -4y + 4y

Combine like terms: 3y + 4y = 7y
-1 + 7y = 6 + -4y + 4y

Combine like terms: -4y + 4y = 0
-1 + 7y = 6 + 0
-1 + 7y = 6

Add '1' to each side of the equation.
-1 + 1 + 7y = 6 + 1

Combine like terms: -1 + 1 = 0
0 + 7y = 6 + 1
7y = 6 + 1

Combine like terms: 6 + 1 = 7
7y = 7

Divide each side by '7'.
y = 1

Simplifying
y = 1

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