25-5(3-2y)=y-5(y+9)

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Solution for 25-5(3-2y)=y-5(y+9) equation:


Simplifying
25 + -5(3 + -2y) = y + -5(y + 9)
25 + (3 * -5 + -2y * -5) = y + -5(y + 9)
25 + (-15 + 10y) = y + -5(y + 9)

Combine like terms: 25 + -15 = 10
10 + 10y = y + -5(y + 9)

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

Reorder the terms:
10 + 10y = -45 + y + -5y

Combine like terms: y + -5y = -4y
10 + 10y = -45 + -4y

Solving
10 + 10y = -45 + -4y

Solving for variable 'y'.

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

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

Combine like terms: 10y + 4y = 14y
10 + 14y = -45 + -4y + 4y

Combine like terms: -4y + 4y = 0
10 + 14y = -45 + 0
10 + 14y = -45

Add '-10' to each side of the equation.
10 + -10 + 14y = -45 + -10

Combine like terms: 10 + -10 = 0
0 + 14y = -45 + -10
14y = -45 + -10

Combine like terms: -45 + -10 = -55
14y = -55

Divide each side by '14'.
y = -3.928571429

Simplifying
y = -3.928571429

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