4(y+7)+y=2(y+5)-4

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Solution for 4(y+7)+y=2(y+5)-4 equation:


Simplifying
4(y + 7) + y = 2(y + 5) + -4

Reorder the terms:
4(7 + y) + y = 2(y + 5) + -4
(7 * 4 + y * 4) + y = 2(y + 5) + -4
(28 + 4y) + y = 2(y + 5) + -4

Combine like terms: 4y + y = 5y
28 + 5y = 2(y + 5) + -4

Reorder the terms:
28 + 5y = 2(5 + y) + -4
28 + 5y = (5 * 2 + y * 2) + -4
28 + 5y = (10 + 2y) + -4

Reorder the terms:
28 + 5y = 10 + -4 + 2y

Combine like terms: 10 + -4 = 6
28 + 5y = 6 + 2y

Solving
28 + 5y = 6 + 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.
28 + 5y + -2y = 6 + 2y + -2y

Combine like terms: 5y + -2y = 3y
28 + 3y = 6 + 2y + -2y

Combine like terms: 2y + -2y = 0
28 + 3y = 6 + 0
28 + 3y = 6

Add '-28' to each side of the equation.
28 + -28 + 3y = 6 + -28

Combine like terms: 28 + -28 = 0
0 + 3y = 6 + -28
3y = 6 + -28

Combine like terms: 6 + -28 = -22
3y = -22

Divide each side by '3'.
y = -7.333333333

Simplifying
y = -7.333333333

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