2(4y-1.9)+0.2=9(5y-0.4)

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Solution for 2(4y-1.9)+0.2=9(5y-0.4) equation:


Simplifying
2(4y + -1.9) + 0.2 = 9(5y + -0.4)

Reorder the terms:
2(-1.9 + 4y) + 0.2 = 9(5y + -0.4)
(-1.9 * 2 + 4y * 2) + 0.2 = 9(5y + -0.4)
(-3.8 + 8y) + 0.2 = 9(5y + -0.4)

Reorder the terms:
-3.8 + 0.2 + 8y = 9(5y + -0.4)

Combine like terms: -3.8 + 0.2 = -3.6
-3.6 + 8y = 9(5y + -0.4)

Reorder the terms:
-3.6 + 8y = 9(-0.4 + 5y)
-3.6 + 8y = (-0.4 * 9 + 5y * 9)
-3.6 + 8y = (-3.6 + 45y)

Add '3.6' to each side of the equation.
-3.6 + 3.6 + 8y = -3.6 + 3.6 + 45y

Combine like terms: -3.6 + 3.6 = 0.0
0.0 + 8y = -3.6 + 3.6 + 45y
8y = -3.6 + 3.6 + 45y

Combine like terms: -3.6 + 3.6 = 0.0
8y = 0.0 + 45y
8y = 45y

Solving
8y = 45y

Solving for variable 'y'.

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

Add '-45y' to each side of the equation.
8y + -45y = 45y + -45y

Combine like terms: 8y + -45y = -37y
-37y = 45y + -45y

Combine like terms: 45y + -45y = 0
-37y = 0

Divide each side by '-37'.
y = 0

Simplifying
y = 0

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