7(y+2)=4(y+5)

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Solution for 7(y+2)=4(y+5) equation:


Simplifying
7(y + 2) = 4(y + 5)

Reorder the terms:
7(2 + y) = 4(y + 5)
(2 * 7 + y * 7) = 4(y + 5)
(14 + 7y) = 4(y + 5)

Reorder the terms:
14 + 7y = 4(5 + y)
14 + 7y = (5 * 4 + y * 4)
14 + 7y = (20 + 4y)

Solving
14 + 7y = 20 + 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.
14 + 7y + -4y = 20 + 4y + -4y

Combine like terms: 7y + -4y = 3y
14 + 3y = 20 + 4y + -4y

Combine like terms: 4y + -4y = 0
14 + 3y = 20 + 0
14 + 3y = 20

Add '-14' to each side of the equation.
14 + -14 + 3y = 20 + -14

Combine like terms: 14 + -14 = 0
0 + 3y = 20 + -14
3y = 20 + -14

Combine like terms: 20 + -14 = 6
3y = 6

Divide each side by '3'.
y = 2

Simplifying
y = 2

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