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

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


Simplifying
4(2y + -3) + -1(5y + -2) = 0

Reorder the terms:
4(-3 + 2y) + -1(5y + -2) = 0
(-3 * 4 + 2y * 4) + -1(5y + -2) = 0
(-12 + 8y) + -1(5y + -2) = 0

Reorder the terms:
-12 + 8y + -1(-2 + 5y) = 0
-12 + 8y + (-2 * -1 + 5y * -1) = 0
-12 + 8y + (2 + -5y) = 0

Reorder the terms:
-12 + 2 + 8y + -5y = 0

Combine like terms: -12 + 2 = -10
-10 + 8y + -5y = 0

Combine like terms: 8y + -5y = 3y
-10 + 3y = 0

Solving
-10 + 3y = 0

Solving for variable 'y'.

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

Add '10' to each side of the equation.
-10 + 10 + 3y = 0 + 10

Combine like terms: -10 + 10 = 0
0 + 3y = 0 + 10
3y = 0 + 10

Combine like terms: 0 + 10 = 10
3y = 10

Divide each side by '3'.
y = 3.333333333

Simplifying
y = 3.333333333

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