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

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


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

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

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

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

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

Combine like terms: 3 + 2 = 5
5 + 5y + -1y = 0

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

Solving
5 + 4y = 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 + 4y = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 4y = 0 + -5
4y = 0 + -5

Combine like terms: 0 + -5 = -5
4y = -5

Divide each side by '4'.
y = -1.25

Simplifying
y = -1.25

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