2(3y-4)=3(y-.67)

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Solution for 2(3y-4)=3(y-.67) equation:


Simplifying
2(3y + -4) = 3(y + -0.67)

Reorder the terms:
2(-4 + 3y) = 3(y + -0.67)
(-4 * 2 + 3y * 2) = 3(y + -0.67)
(-8 + 6y) = 3(y + -0.67)

Reorder the terms:
-8 + 6y = 3(-0.67 + y)
-8 + 6y = (-0.67 * 3 + y * 3)
-8 + 6y = (-2.01 + 3y)

Solving
-8 + 6y = -2.01 + 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.
-8 + 6y + -3y = -2.01 + 3y + -3y

Combine like terms: 6y + -3y = 3y
-8 + 3y = -2.01 + 3y + -3y

Combine like terms: 3y + -3y = 0
-8 + 3y = -2.01 + 0
-8 + 3y = -2.01

Add '8' to each side of the equation.
-8 + 8 + 3y = -2.01 + 8

Combine like terms: -8 + 8 = 0
0 + 3y = -2.01 + 8
3y = -2.01 + 8

Combine like terms: -2.01 + 8 = 5.99
3y = 5.99

Divide each side by '3'.
y = 1.996666667

Simplifying
y = 1.996666667

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