10-4y=9(y+5)

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Solution for 10-4y=9(y+5) equation:


Simplifying
10 + -4y = 9(y + 5)

Reorder the terms:
10 + -4y = 9(5 + y)
10 + -4y = (5 * 9 + y * 9)
10 + -4y = (45 + 9y)

Solving
10 + -4y = 45 + 9y

Solving for variable 'y'.

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

Add '-9y' to each side of the equation.
10 + -4y + -9y = 45 + 9y + -9y

Combine like terms: -4y + -9y = -13y
10 + -13y = 45 + 9y + -9y

Combine like terms: 9y + -9y = 0
10 + -13y = 45 + 0
10 + -13y = 45

Add '-10' to each side of the equation.
10 + -10 + -13y = 45 + -10

Combine like terms: 10 + -10 = 0
0 + -13y = 45 + -10
-13y = 45 + -10

Combine like terms: 45 + -10 = 35
-13y = 35

Divide each side by '-13'.
y = -2.692307692

Simplifying
y = -2.692307692

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