y-5(y+5)=3y-10

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Solution for y-5(y+5)=3y-10 equation: 


Simplifying
y + -5(y + 5) = 3y + -10

Reorder the terms:
y + -5(5 + y) = 3y + -10
y + (5 * -5 + y * -5) = 3y + -10
y + (-25 + -5y) = 3y + -10

Reorder the terms:
-25 + y + -5y = 3y + -10

Combine like terms: y + -5y = -4y
-25 + -4y = 3y + -10

Reorder the terms:
-25 + -4y = -10 + 3y

Solving
-25 + -4y = -10 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
-25 + -4y + -3y = -10 + 3y + -3y

Combine like terms: -4y + -3y = -7y
-25 + -7y = -10 + 3y + -3y

Combine like terms: 3y + -3y = 0
-25 + -7y = -10 + 0
-25 + -7y = -10

Add '25' to each side of the equation.
-25 + 25 + -7y = -10 + 25

Combine like terms: -25 + 25 = 0
0 + -7y = -10 + 25
-7y = -10 + 25

Combine like terms: -10 + 25 = 15
-7y = 15

Divide each side by '-7'.
y = -2.142857143

Simplifying
y = -2.142857143

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