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

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


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

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

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

Solving
-4 + 2y = -15 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
-4 + 2y + -5y = -15 + 5y + -5y

Combine like terms: 2y + -5y = -3y
-4 + -3y = -15 + 5y + -5y

Combine like terms: 5y + -5y = 0
-4 + -3y = -15 + 0
-4 + -3y = -15

Add '4' to each side of the equation.
-4 + 4 + -3y = -15 + 4

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

Combine like terms: -15 + 4 = -11
-3y = -11

Divide each side by '-3'.
y = 3.666666667

Simplifying
y = 3.666666667

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