6y-28=-5(2-3y)

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Solution for 6y-28=-5(2-3y) equation:


Simplifying
6y + -28 = -5(2 + -3y)

Reorder the terms:
-28 + 6y = -5(2 + -3y)
-28 + 6y = (2 * -5 + -3y * -5)
-28 + 6y = (-10 + 15y)

Solving
-28 + 6y = -10 + 15y

Solving for variable 'y'.

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

Add '-15y' to each side of the equation.
-28 + 6y + -15y = -10 + 15y + -15y

Combine like terms: 6y + -15y = -9y
-28 + -9y = -10 + 15y + -15y

Combine like terms: 15y + -15y = 0
-28 + -9y = -10 + 0
-28 + -9y = -10

Add '28' to each side of the equation.
-28 + 28 + -9y = -10 + 28

Combine like terms: -28 + 28 = 0
0 + -9y = -10 + 28
-9y = -10 + 28

Combine like terms: -10 + 28 = 18
-9y = 18

Divide each side by '-9'.
y = -2

Simplifying
y = -2

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