12-7y=17y-5(3-4y)

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Solution for 12-7y=17y-5(3-4y) equation:


Simplifying
12 + -7y = 17y + -5(3 + -4y)
12 + -7y = 17y + (3 * -5 + -4y * -5)
12 + -7y = 17y + (-15 + 20y)

Reorder the terms:
12 + -7y = -15 + 17y + 20y

Combine like terms: 17y + 20y = 37y
12 + -7y = -15 + 37y

Solving
12 + -7y = -15 + 37y

Solving for variable 'y'.

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

Add '-37y' to each side of the equation.
12 + -7y + -37y = -15 + 37y + -37y

Combine like terms: -7y + -37y = -44y
12 + -44y = -15 + 37y + -37y

Combine like terms: 37y + -37y = 0
12 + -44y = -15 + 0
12 + -44y = -15

Add '-12' to each side of the equation.
12 + -12 + -44y = -15 + -12

Combine like terms: 12 + -12 = 0
0 + -44y = -15 + -12
-44y = -15 + -12

Combine like terms: -15 + -12 = -27
-44y = -27

Divide each side by '-44'.
y = 0.6136363636

Simplifying
y = 0.6136363636

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