10y-5(1+4)=3(2y-2)-20

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Solution for 10y-5(1+4)=3(2y-2)-20 equation:


Simplifying
10y + -5(1 + 4) = 3(2y + -2) + -20

Combine like terms: 1 + 4 = 5
10y + -5(5) = 3(2y + -2) + -20

Multiply -5 * 5
10y + -25 = 3(2y + -2) + -20

Reorder the terms:
-25 + 10y = 3(2y + -2) + -20

Reorder the terms:
-25 + 10y = 3(-2 + 2y) + -20
-25 + 10y = (-2 * 3 + 2y * 3) + -20
-25 + 10y = (-6 + 6y) + -20

Reorder the terms:
-25 + 10y = -6 + -20 + 6y

Combine like terms: -6 + -20 = -26
-25 + 10y = -26 + 6y

Solving
-25 + 10y = -26 + 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
-25 + 10y + -6y = -26 + 6y + -6y

Combine like terms: 10y + -6y = 4y
-25 + 4y = -26 + 6y + -6y

Combine like terms: 6y + -6y = 0
-25 + 4y = -26 + 0
-25 + 4y = -26

Add '25' to each side of the equation.
-25 + 25 + 4y = -26 + 25

Combine like terms: -25 + 25 = 0
0 + 4y = -26 + 25
4y = -26 + 25

Combine like terms: -26 + 25 = -1
4y = -1

Divide each side by '4'.
y = -0.25

Simplifying
y = -0.25

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