4(y+8)=6(y+9)

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Solution for 4(y+8)=6(y+9) equation: 


Simplifying
4(y + 8) = 6(y + 9)

Reorder the terms:
4(8 + y) = 6(y + 9)
(8 * 4 + y * 4) = 6(y + 9)
(32 + 4y) = 6(y + 9)

Reorder the terms:
32 + 4y = 6(9 + y)
32 + 4y = (9 * 6 + y * 6)
32 + 4y = (54 + 6y)

Solving
32 + 4y = 54 + 6y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-6y' to each side of the equation.
32 + 4y + -6y = 54 + 6y + -6y

Combine like terms: 4y + -6y = -2y
32 + -2y = 54 + 6y + -6y

Combine like terms: 6y + -6y = 0
32 + -2y = 54 + 0
32 + -2y = 54

Add '-32' to each side of the equation.
32 + -32 + -2y = 54 + -32

Combine like terms: 32 + -32 = 0
0 + -2y = 54 + -32
-2y = 54 + -32

Combine like terms: 54 + -32 = 22
-2y = 22

Divide each side by '-2'.
y = -11

Simplifying
y = -11

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