4(y+2)+y=2(y+4)+7

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Solution for 4(y+2)+y=2(y+4)+7 equation: 


Simplifying
4(y + 2) + y = 2(y + 4) + 7

Reorder the terms:
4(2 + y) + y = 2(y + 4) + 7
(2 * 4 + y * 4) + y = 2(y + 4) + 7
(8 + 4y) + y = 2(y + 4) + 7

Combine like terms: 4y + y = 5y
8 + 5y = 2(y + 4) + 7

Reorder the terms:
8 + 5y = 2(4 + y) + 7
8 + 5y = (4 * 2 + y * 2) + 7
8 + 5y = (8 + 2y) + 7

Reorder the terms:
8 + 5y = 8 + 7 + 2y

Combine like terms: 8 + 7 = 15
8 + 5y = 15 + 2y

Solving
8 + 5y = 15 + 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.
8 + 5y + -2y = 15 + 2y + -2y

Combine like terms: 5y + -2y = 3y
8 + 3y = 15 + 2y + -2y

Combine like terms: 2y + -2y = 0
8 + 3y = 15 + 0
8 + 3y = 15

Add '-8' to each side of the equation.
8 + -8 + 3y = 15 + -8

Combine like terms: 8 + -8 = 0
0 + 3y = 15 + -8
3y = 15 + -8

Combine like terms: 15 + -8 = 7
3y = 7

Divide each side by '3'.
y = 2.333333333

Simplifying
y = 2.333333333

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