09(y-4)=-0.3(y-10)

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Solution for 09(y-4)=-0.3(y-10) equation:


Simplifying
9(y + -4) = -0.3(y + -10)

Reorder the terms:
9(-4 + y) = -0.3(y + -10)
(-4 * 9 + y * 9) = -0.3(y + -10)
(-36 + 9y) = -0.3(y + -10)

Reorder the terms:
-36 + 9y = -0.3(-10 + y)
-36 + 9y = (-10 * -0.3 + y * -0.3)
-36 + 9y = (3 + -0.3y)

Solving
-36 + 9y = 3 + -0.3y

Solving for variable 'y'.

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

Add '0.3y' to each side of the equation.
-36 + 9y + 0.3y = 3 + -0.3y + 0.3y

Combine like terms: 9y + 0.3y = 9.3y
-36 + 9.3y = 3 + -0.3y + 0.3y

Combine like terms: -0.3y + 0.3y = 0.0
-36 + 9.3y = 3 + 0.0
-36 + 9.3y = 3

Add '36' to each side of the equation.
-36 + 36 + 9.3y = 3 + 36

Combine like terms: -36 + 36 = 0
0 + 9.3y = 3 + 36
9.3y = 3 + 36

Combine like terms: 3 + 36 = 39
9.3y = 39

Divide each side by '9.3'.
y = 4.193548387

Simplifying
y = 4.193548387

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