4(y+8)=7(y+2)

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Solution for 4(y+8)=7(y+2) equation: 


Simplifying
4(y + 8) = 7(y + 2)

Reorder the terms:
4(8 + y) = 7(y + 2)
(8 * 4 + y * 4) = 7(y + 2)
(32 + 4y) = 7(y + 2)

Reorder the terms:
32 + 4y = 7(2 + y)
32 + 4y = (2 * 7 + y * 7)
32 + 4y = (14 + 7y)

Solving
32 + 4y = 14 + 7y

Solving for variable 'y'.

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

Add '-7y' to each side of the equation.
32 + 4y + -7y = 14 + 7y + -7y

Combine like terms: 4y + -7y = -3y
32 + -3y = 14 + 7y + -7y

Combine like terms: 7y + -7y = 0
32 + -3y = 14 + 0
32 + -3y = 14

Add '-32' to each side of the equation.
32 + -32 + -3y = 14 + -32

Combine like terms: 32 + -32 = 0
0 + -3y = 14 + -32
-3y = 14 + -32

Combine like terms: 14 + -32 = -18
-3y = -18

Divide each side by '-3'.
y = 6

Simplifying
y = 6

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