4y-5=2(y+4)

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


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

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

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

Solving
-5 + 4y = 8 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
-5 + 4y + -2y = 8 + 2y + -2y

Combine like terms: 4y + -2y = 2y
-5 + 2y = 8 + 2y + -2y

Combine like terms: 2y + -2y = 0
-5 + 2y = 8 + 0
-5 + 2y = 8

Add '5' to each side of the equation.
-5 + 5 + 2y = 8 + 5

Combine like terms: -5 + 5 = 0
0 + 2y = 8 + 5
2y = 8 + 5

Combine like terms: 8 + 5 = 13
2y = 13

Divide each side by '2'.
y = 6.5

Simplifying
y = 6.5

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