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

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


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

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

Remove parenthesis around (-3 + y)
2y + -3 + y = 4(y + 5)

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

Combine like terms: 2y + y = 3y
-3 + 3y = 4(y + 5)

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

Solving
-3 + 3y = 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.
-3 + 3y + -4y = 20 + 4y + -4y

Combine like terms: 3y + -4y = -1y
-3 + -1y = 20 + 4y + -4y

Combine like terms: 4y + -4y = 0
-3 + -1y = 20 + 0
-3 + -1y = 20

Add '3' to each side of the equation.
-3 + 3 + -1y = 20 + 3

Combine like terms: -3 + 3 = 0
0 + -1y = 20 + 3
-1y = 20 + 3

Combine like terms: 20 + 3 = 23
-1y = 23

Divide each side by '-1'.
y = -23

Simplifying
y = -23

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