28-2(5y-6)=18-4y

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Solution for 28-2(5y-6)=18-4y equation:


Simplifying
28 + -2(5y + -6) = 18 + -4y

Reorder the terms:
28 + -2(-6 + 5y) = 18 + -4y
28 + (-6 * -2 + 5y * -2) = 18 + -4y
28 + (12 + -10y) = 18 + -4y

Combine like terms: 28 + 12 = 40
40 + -10y = 18 + -4y

Solving
40 + -10y = 18 + -4y

Solving for variable 'y'.

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

Add '4y' to each side of the equation.
40 + -10y + 4y = 18 + -4y + 4y

Combine like terms: -10y + 4y = -6y
40 + -6y = 18 + -4y + 4y

Combine like terms: -4y + 4y = 0
40 + -6y = 18 + 0
40 + -6y = 18

Add '-40' to each side of the equation.
40 + -40 + -6y = 18 + -40

Combine like terms: 40 + -40 = 0
0 + -6y = 18 + -40
-6y = 18 + -40

Combine like terms: 18 + -40 = -22
-6y = -22

Divide each side by '-6'.
y = 3.666666667

Simplifying
y = 3.666666667

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