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

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


Simplifying
5(y + 3) + -7 = 3(4 + -1y)

Reorder the terms:
5(3 + y) + -7 = 3(4 + -1y)
(3 * 5 + y * 5) + -7 = 3(4 + -1y)
(15 + 5y) + -7 = 3(4 + -1y)

Reorder the terms:
15 + -7 + 5y = 3(4 + -1y)

Combine like terms: 15 + -7 = 8
8 + 5y = 3(4 + -1y)
8 + 5y = (4 * 3 + -1y * 3)
8 + 5y = (12 + -3y)

Solving
8 + 5y = 12 + -3y

Solving for variable 'y'.

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

Add '3y' to each side of the equation.
8 + 5y + 3y = 12 + -3y + 3y

Combine like terms: 5y + 3y = 8y
8 + 8y = 12 + -3y + 3y

Combine like terms: -3y + 3y = 0
8 + 8y = 12 + 0
8 + 8y = 12

Add '-8' to each side of the equation.
8 + -8 + 8y = 12 + -8

Combine like terms: 8 + -8 = 0
0 + 8y = 12 + -8
8y = 12 + -8

Combine like terms: 12 + -8 = 4
8y = 4

Divide each side by '8'.
y = 0.5

Simplifying
y = 0.5

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