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

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


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

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

Reorder the terms:
-5 + 2y = 4 + -3(2 + y)
-5 + 2y = 4 + (2 * -3 + y * -3)
-5 + 2y = 4 + (-6 + -3y)

Combine like terms: 4 + -6 = -2
-5 + 2y = -2 + -3y

Solving
-5 + 2y = -2 + -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.
-5 + 2y + 3y = -2 + -3y + 3y

Combine like terms: 2y + 3y = 5y
-5 + 5y = -2 + -3y + 3y

Combine like terms: -3y + 3y = 0
-5 + 5y = -2 + 0
-5 + 5y = -2

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

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

Combine like terms: -2 + 5 = 3
5y = 3

Divide each side by '5'.
y = 0.6

Simplifying
y = 0.6

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