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

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


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

Reorder the terms:
5(-3 + y) = 2y + -1(y + 4)
(-3 * 5 + y * 5) = 2y + -1(y + 4)
(-15 + 5y) = 2y + -1(y + 4)

Reorder the terms:
-15 + 5y = 2y + -1(4 + y)
-15 + 5y = 2y + (4 * -1 + y * -1)
-15 + 5y = 2y + (-4 + -1y)

Reorder the terms:
-15 + 5y = -4 + 2y + -1y

Combine like terms: 2y + -1y = 1y
-15 + 5y = -4 + 1y

Solving
-15 + 5y = -4 + 1y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
-15 + 5y + -1y = -4 + 1y + -1y

Combine like terms: 5y + -1y = 4y
-15 + 4y = -4 + 1y + -1y

Combine like terms: 1y + -1y = 0
-15 + 4y = -4 + 0
-15 + 4y = -4

Add '15' to each side of the equation.
-15 + 15 + 4y = -4 + 15

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

Combine like terms: -4 + 15 = 11
4y = 11

Divide each side by '4'.
y = 2.75

Simplifying
y = 2.75

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