# 2y-10+5(-2+0.8y)+4y=180

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## Solution for 2y-10+5(-2+0.8y)+4y=180 equation:

Simplifying
2y + -10 + 5(-2 + 0.8y) + 4y = 180
2y + -10 + (-2 * 5 + 0.8y * 5) + 4y = 180
2y + -10 + (-10 + 4y) + 4y = 180

Reorder the terms:
-10 + -10 + 2y + 4y + 4y = 180

Combine like terms: -10 + -10 = -20
-20 + 2y + 4y + 4y = 180

Combine like terms: 2y + 4y = 6y
-20 + 6y + 4y = 180

Combine like terms: 6y + 4y = 10y
-20 + 10y = 180

Solving
-20 + 10y = 180

Solving for variable 'y'.

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

Add '20' to each side of the equation.
-20 + 20 + 10y = 180 + 20

Combine like terms: -20 + 20 = 0
0 + 10y = 180 + 20
10y = 180 + 20

Combine like terms: 180 + 20 = 200
10y = 200

Divide each side by '10'.
y = 20

Simplifying
y = 20