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

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Solution for 5(y+2)+1=7y-3(y-3) equation: 


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

Reorder the terms:
5(2 + y) + 1 = 7y + -3(y + -3)
(2 * 5 + y * 5) + 1 = 7y + -3(y + -3)
(10 + 5y) + 1 = 7y + -3(y + -3)

Reorder the terms:
10 + 1 + 5y = 7y + -3(y + -3)

Combine like terms: 10 + 1 = 11
11 + 5y = 7y + -3(y + -3)

Reorder the terms:
11 + 5y = 7y + -3(-3 + y)
11 + 5y = 7y + (-3 * -3 + y * -3)
11 + 5y = 7y + (9 + -3y)

Reorder the terms:
11 + 5y = 9 + 7y + -3y

Combine like terms: 7y + -3y = 4y
11 + 5y = 9 + 4y

Solving
11 + 5y = 9 + 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.
11 + 5y + -4y = 9 + 4y + -4y

Combine like terms: 5y + -4y = 1y
11 + 1y = 9 + 4y + -4y

Combine like terms: 4y + -4y = 0
11 + 1y = 9 + 0
11 + 1y = 9

Add '-11' to each side of the equation.
11 + -11 + 1y = 9 + -11

Combine like terms: 11 + -11 = 0
0 + 1y = 9 + -11
1y = 9 + -11

Combine like terms: 9 + -11 = -2
1y = -2

Divide each side by '1'.
y = -2

Simplifying
y = -2

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