8(y+9)+y=4(y+4)+7

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Solution for 8(y+9)+y=4(y+4)+7 equation:


Simplifying
8(y + 9) + y = 4(y + 4) + 7

Reorder the terms:
8(9 + y) + y = 4(y + 4) + 7
(9 * 8 + y * 8) + y = 4(y + 4) + 7
(72 + 8y) + y = 4(y + 4) + 7

Combine like terms: 8y + y = 9y
72 + 9y = 4(y + 4) + 7

Reorder the terms:
72 + 9y = 4(4 + y) + 7
72 + 9y = (4 * 4 + y * 4) + 7
72 + 9y = (16 + 4y) + 7

Reorder the terms:
72 + 9y = 16 + 7 + 4y

Combine like terms: 16 + 7 = 23
72 + 9y = 23 + 4y

Solving
72 + 9y = 23 + 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.
72 + 9y + -4y = 23 + 4y + -4y

Combine like terms: 9y + -4y = 5y
72 + 5y = 23 + 4y + -4y

Combine like terms: 4y + -4y = 0
72 + 5y = 23 + 0
72 + 5y = 23

Add '-72' to each side of the equation.
72 + -72 + 5y = 23 + -72

Combine like terms: 72 + -72 = 0
0 + 5y = 23 + -72
5y = 23 + -72

Combine like terms: 23 + -72 = -49
5y = -49

Divide each side by '5'.
y = -9.8

Simplifying
y = -9.8

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