10y-20=-2(2y+3)

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


Simplifying
10y + -20 = -2(2y + 3)

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

Reorder the terms:
-20 + 10y = -2(3 + 2y)
-20 + 10y = (3 * -2 + 2y * -2)
-20 + 10y = (-6 + -4y)

Solving
-20 + 10y = -6 + -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.
-20 + 10y + 4y = -6 + -4y + 4y

Combine like terms: 10y + 4y = 14y
-20 + 14y = -6 + -4y + 4y

Combine like terms: -4y + 4y = 0
-20 + 14y = -6 + 0
-20 + 14y = -6

Add '20' to each side of the equation.
-20 + 20 + 14y = -6 + 20

Combine like terms: -20 + 20 = 0
0 + 14y = -6 + 20
14y = -6 + 20

Combine like terms: -6 + 20 = 14
14y = 14

Divide each side by '14'.
y = 1

Simplifying
y = 1

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