5y-3=7+4(2-y)

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Solution for 5y-3=7+4(2-y) equation:


Simplifying
5y + -3 = 7 + 4(2 + -1y)

Reorder the terms:
-3 + 5y = 7 + 4(2 + -1y)
-3 + 5y = 7 + (2 * 4 + -1y * 4)
-3 + 5y = 7 + (8 + -4y)

Combine like terms: 7 + 8 = 15
-3 + 5y = 15 + -4y

Solving
-3 + 5y = 15 + -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.
-3 + 5y + 4y = 15 + -4y + 4y

Combine like terms: 5y + 4y = 9y
-3 + 9y = 15 + -4y + 4y

Combine like terms: -4y + 4y = 0
-3 + 9y = 15 + 0
-3 + 9y = 15

Add '3' to each side of the equation.
-3 + 3 + 9y = 15 + 3

Combine like terms: -3 + 3 = 0
0 + 9y = 15 + 3
9y = 15 + 3

Combine like terms: 15 + 3 = 18
9y = 18

Divide each side by '9'.
y = 2

Simplifying
y = 2

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