5(y+2)+2=2(y+1)+5

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


Simplifying
5(y + 2) + 2 = 2(y + 1) + 5

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

Reorder the terms:
10 + 2 + 5y = 2(y + 1) + 5

Combine like terms: 10 + 2 = 12
12 + 5y = 2(y + 1) + 5

Reorder the terms:
12 + 5y = 2(1 + y) + 5
12 + 5y = (1 * 2 + y * 2) + 5
12 + 5y = (2 + 2y) + 5

Reorder the terms:
12 + 5y = 2 + 5 + 2y

Combine like terms: 2 + 5 = 7
12 + 5y = 7 + 2y

Solving
12 + 5y = 7 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
12 + 5y + -2y = 7 + 2y + -2y

Combine like terms: 5y + -2y = 3y
12 + 3y = 7 + 2y + -2y

Combine like terms: 2y + -2y = 0
12 + 3y = 7 + 0
12 + 3y = 7

Add '-12' to each side of the equation.
12 + -12 + 3y = 7 + -12

Combine like terms: 12 + -12 = 0
0 + 3y = 7 + -12
3y = 7 + -12

Combine like terms: 7 + -12 = -5
3y = -5

Divide each side by '3'.
y = -1.666666667

Simplifying
y = -1.666666667

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