4(y-1)=5(y-2)

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Solution for 4(y-1)=5(y-2) equation:


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

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

Reorder the terms:
-4 + 4y = 5(-2 + y)
-4 + 4y = (-2 * 5 + y * 5)
-4 + 4y = (-10 + 5y)

Solving
-4 + 4y = -10 + 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 + 4y + -5y = -10 + 5y + -5y

Combine like terms: 4y + -5y = -1y
-4 + -1y = -10 + 5y + -5y

Combine like terms: 5y + -5y = 0
-4 + -1y = -10 + 0
-4 + -1y = -10

Add '4' to each side of the equation.
-4 + 4 + -1y = -10 + 4

Combine like terms: -4 + 4 = 0
0 + -1y = -10 + 4
-1y = -10 + 4

Combine like terms: -10 + 4 = -6
-1y = -6

Divide each side by '-1'.
y = 6

Simplifying
y = 6

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