3y+2=2(4y-13)

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Solution for 3y+2=2(4y-13) equation:


Simplifying
3y + 2 = 2(4y + -13)

Reorder the terms:
2 + 3y = 2(4y + -13)

Reorder the terms:
2 + 3y = 2(-13 + 4y)
2 + 3y = (-13 * 2 + 4y * 2)
2 + 3y = (-26 + 8y)

Solving
2 + 3y = -26 + 8y

Solving for variable 'y'.

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

Add '-8y' to each side of the equation.
2 + 3y + -8y = -26 + 8y + -8y

Combine like terms: 3y + -8y = -5y
2 + -5y = -26 + 8y + -8y

Combine like terms: 8y + -8y = 0
2 + -5y = -26 + 0
2 + -5y = -26

Add '-2' to each side of the equation.
2 + -2 + -5y = -26 + -2

Combine like terms: 2 + -2 = 0
0 + -5y = -26 + -2
-5y = -26 + -2

Combine like terms: -26 + -2 = -28
-5y = -28

Divide each side by '-5'.
y = 5.6

Simplifying
y = 5.6

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