3(5y-4.6)+13=4(9y-0.2)

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Solution for 3(5y-4.6)+13=4(9y-0.2) equation: 


Simplifying
3(5y + -4.6) + 13 = 4(9y + -0.2)

Reorder the terms:
3(-4.6 + 5y) + 13 = 4(9y + -0.2)
(-4.6 * 3 + 5y * 3) + 13 = 4(9y + -0.2)
(-13.8 + 15y) + 13 = 4(9y + -0.2)

Reorder the terms:
-13.8 + 13 + 15y = 4(9y + -0.2)

Combine like terms: -13.8 + 13 = -0.8
-0.8 + 15y = 4(9y + -0.2)

Reorder the terms:
-0.8 + 15y = 4(-0.2 + 9y)
-0.8 + 15y = (-0.2 * 4 + 9y * 4)
-0.8 + 15y = (-0.8 + 36y)

Add '0.8' to each side of the equation.
-0.8 + 0.8 + 15y = -0.8 + 0.8 + 36y

Combine like terms: -0.8 + 0.8 = 0.0
0.0 + 15y = -0.8 + 0.8 + 36y
15y = -0.8 + 0.8 + 36y

Combine like terms: -0.8 + 0.8 = 0.0
15y = 0.0 + 36y
15y = 36y

Solving
15y = 36y

Solving for variable 'y'.

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

Add '-36y' to each side of the equation.
15y + -36y = 36y + -36y

Combine like terms: 15y + -36y = -21y
-21y = 36y + -36y

Combine like terms: 36y + -36y = 0
-21y = 0

Divide each side by '-21'.
y = 0

Simplifying
y = 0

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