9(y+6)+y=4(y+5)-2

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Solution for 9(y+6)+y=4(y+5)-2 equation: 


Simplifying
9(y + 6) + y = 4(y + 5) + -2

Reorder the terms:
9(6 + y) + y = 4(y + 5) + -2
(6 * 9 + y * 9) + y = 4(y + 5) + -2
(54 + 9y) + y = 4(y + 5) + -2

Combine like terms: 9y + y = 10y
54 + 10y = 4(y + 5) + -2

Reorder the terms:
54 + 10y = 4(5 + y) + -2
54 + 10y = (5 * 4 + y * 4) + -2
54 + 10y = (20 + 4y) + -2

Reorder the terms:
54 + 10y = 20 + -2 + 4y

Combine like terms: 20 + -2 = 18
54 + 10y = 18 + 4y

Solving
54 + 10y = 18 + 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.
54 + 10y + -4y = 18 + 4y + -4y

Combine like terms: 10y + -4y = 6y
54 + 6y = 18 + 4y + -4y

Combine like terms: 4y + -4y = 0
54 + 6y = 18 + 0
54 + 6y = 18

Add '-54' to each side of the equation.
54 + -54 + 6y = 18 + -54

Combine like terms: 54 + -54 = 0
0 + 6y = 18 + -54
6y = 18 + -54

Combine like terms: 18 + -54 = -36
6y = -36

Divide each side by '6'.
y = -6

Simplifying
y = -6

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