2y+2(y-2)=5y+3(y*10)

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Solution for 2y+2(y-2)=5y+3(y*10) equation:


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

Reorder the terms:
2y + 2(-2 + y) = 5y + 3(y * 10)
2y + (-2 * 2 + y * 2) = 5y + 3(y * 10)
2y + (-4 + 2y) = 5y + 3(y * 10)

Reorder the terms:
-4 + 2y + 2y = 5y + 3(y * 10)

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

Reorder the terms for easier multiplication:
-4 + 4y = 5y + 3(10y)

Remove parenthesis around (10y)
-4 + 4y = 5y + 3 * 10y

Multiply 3 * 10
-4 + 4y = 5y + 30y

Combine like terms: 5y + 30y = 35y
-4 + 4y = 35y

Solving
-4 + 4y = 35y

Solving for variable 'y'.

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

Add '-35y' to each side of the equation.
-4 + 4y + -35y = 35y + -35y

Combine like terms: 4y + -35y = -31y
-4 + -31y = 35y + -35y

Combine like terms: 35y + -35y = 0
-4 + -31y = 0

Add '4' to each side of the equation.
-4 + 4 + -31y = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -31y = 0 + 4
-31y = 0 + 4

Combine like terms: 0 + 4 = 4
-31y = 4

Divide each side by '-31'.
y = -0.1290322581

Simplifying
y = -0.1290322581

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