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

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


Simplifying
(5y + 2) + -1(3y + 7) = 0

Reorder the terms:
(2 + 5y) + -1(3y + 7) = 0

Remove parenthesis around (2 + 5y)
2 + 5y + -1(3y + 7) = 0

Reorder the terms:
2 + 5y + -1(7 + 3y) = 0
2 + 5y + (7 * -1 + 3y * -1) = 0
2 + 5y + (-7 + -3y) = 0

Reorder the terms:
2 + -7 + 5y + -3y = 0

Combine like terms: 2 + -7 = -5
-5 + 5y + -3y = 0

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

Solving
-5 + 2y = 0

Solving for variable 'y'.

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

Add '5' to each side of the equation.
-5 + 5 + 2y = 0 + 5

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

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

Divide each side by '2'.
y = 2.5

Simplifying
y = 2.5

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