4(y+5)=14+7(y-3)

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Solution for 4(y+5)=14+7(y-3) equation:


Simplifying
4(y + 5) = 14 + 7(y + -3)

Reorder the terms:
4(5 + y) = 14 + 7(y + -3)
(5 * 4 + y * 4) = 14 + 7(y + -3)
(20 + 4y) = 14 + 7(y + -3)

Reorder the terms:
20 + 4y = 14 + 7(-3 + y)
20 + 4y = 14 + (-3 * 7 + y * 7)
20 + 4y = 14 + (-21 + 7y)

Combine like terms: 14 + -21 = -7
20 + 4y = -7 + 7y

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

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

Combine like terms: 7y + -7y = 0
20 + -3y = -7 + 0
20 + -3y = -7

Add '-20' to each side of the equation.
20 + -20 + -3y = -7 + -20

Combine like terms: 20 + -20 = 0
0 + -3y = -7 + -20
-3y = -7 + -20

Combine like terms: -7 + -20 = -27
-3y = -27

Divide each side by '-3'.
y = 9

Simplifying
y = 9

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