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

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


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

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

Combine like terms: 5y + y = 6y
-7 + 6y = -1(y + 3)

Reorder the terms:
-7 + 6y = -1(3 + y)
-7 + 6y = (3 * -1 + y * -1)
-7 + 6y = (-3 + -1y)

Solving
-7 + 6y = -3 + -1y

Solving for variable 'y'.

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

Add 'y' to each side of the equation.
-7 + 6y + y = -3 + -1y + y

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

Combine like terms: -1y + y = 0
-7 + 7y = -3 + 0
-7 + 7y = -3

Add '7' to each side of the equation.
-7 + 7 + 7y = -3 + 7

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

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

Divide each side by '7'.
y = 0.5714285714

Simplifying
y = 0.5714285714

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