(2y+5)-(y+3)+(7y-3y)=7

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Solution for (2y+5)-(y+3)+(7y-3y)=7 equation: 


Simplifying
(2y + 5) + -1(y + 3) + (7y + -3y) = 7

Reorder the terms:
(5 + 2y) + -1(y + 3) + (7y + -3y) = 7

Remove parenthesis around (5 + 2y)
5 + 2y + -1(y + 3) + (7y + -3y) = 7

Reorder the terms:
5 + 2y + -1(3 + y) + (7y + -3y) = 7
5 + 2y + (3 * -1 + y * -1) + (7y + -3y) = 7
5 + 2y + (-3 + -1y) + (7y + -3y) = 7

Combine like terms: 7y + -3y = 4y
5 + 2y + -3 + -1y + (4y) = 7
5 + 2y + -3 + -1y + (4y) = 7

Reorder the terms:
5 + -3 + 2y + -1y + (4y) = 7

Combine like terms: 5 + -3 = 2
2 + 2y + -1y + (4y) = 7

Combine like terms: 2y + -1y = 1y
2 + 1y + (4y) = 7

Combine like terms: 1y + (4y) = 5y
2 + 5y = 7

Solving
2 + 5y = 7

Solving for variable 'y'.

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

Add '-2' to each side of the equation.
2 + -2 + 5y = 7 + -2

Combine like terms: 2 + -2 = 0
0 + 5y = 7 + -2
5y = 7 + -2

Combine like terms: 7 + -2 = 5
5y = 5

Divide each side by '5'.
y = 1

Simplifying
y = 1

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