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

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


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

Reorder the terms:
5(9 + y) + y = 4(y + 4) + 6
(9 * 5 + y * 5) + y = 4(y + 4) + 6
(45 + 5y) + y = 4(y + 4) + 6

Combine like terms: 5y + y = 6y
45 + 6y = 4(y + 4) + 6

Reorder the terms:
45 + 6y = 4(4 + y) + 6
45 + 6y = (4 * 4 + y * 4) + 6
45 + 6y = (16 + 4y) + 6

Reorder the terms:
45 + 6y = 16 + 6 + 4y

Combine like terms: 16 + 6 = 22
45 + 6y = 22 + 4y

Solving
45 + 6y = 22 + 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.
45 + 6y + -4y = 22 + 4y + -4y

Combine like terms: 6y + -4y = 2y
45 + 2y = 22 + 4y + -4y

Combine like terms: 4y + -4y = 0
45 + 2y = 22 + 0
45 + 2y = 22

Add '-45' to each side of the equation.
45 + -45 + 2y = 22 + -45

Combine like terms: 45 + -45 = 0
0 + 2y = 22 + -45
2y = 22 + -45

Combine like terms: 22 + -45 = -23
2y = -23

Divide each side by '2'.
y = -11.5

Simplifying
y = -11.5

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