5(y+2)+y=2(y+4)-4

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Solution for 5(y+2)+y=2(y+4)-4 equation: 


Simplifying
5(y + 2) + y = 2(y + 4) + -4

Reorder the terms:
5(2 + y) + y = 2(y + 4) + -4
(2 * 5 + y * 5) + y = 2(y + 4) + -4
(10 + 5y) + y = 2(y + 4) + -4

Combine like terms: 5y + y = 6y
10 + 6y = 2(y + 4) + -4

Reorder the terms:
10 + 6y = 2(4 + y) + -4
10 + 6y = (4 * 2 + y * 2) + -4
10 + 6y = (8 + 2y) + -4

Reorder the terms:
10 + 6y = 8 + -4 + 2y

Combine like terms: 8 + -4 = 4
10 + 6y = 4 + 2y

Solving
10 + 6y = 4 + 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.
10 + 6y + -2y = 4 + 2y + -2y

Combine like terms: 6y + -2y = 4y
10 + 4y = 4 + 2y + -2y

Combine like terms: 2y + -2y = 0
10 + 4y = 4 + 0
10 + 4y = 4

Add '-10' to each side of the equation.
10 + -10 + 4y = 4 + -10

Combine like terms: 10 + -10 = 0
0 + 4y = 4 + -10
4y = 4 + -10

Combine like terms: 4 + -10 = -6
4y = -6

Divide each side by '4'.
y = -1.5

Simplifying
y = -1.5

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