2(5y-6)=4[x-3(x-10)]

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Solution for 2(5y-6)=4[x-3(x-10)] equation:


Simplifying
2(5y + -6) = 4[x + -3(x + -10)]

Reorder the terms:
2(-6 + 5y) = 4[x + -3(x + -10)]
(-6 * 2 + 5y * 2) = 4[x + -3(x + -10)]
(-12 + 10y) = 4[x + -3(x + -10)]

Reorder the terms:
-12 + 10y = 4[x + -3(-10 + x)]
-12 + 10y = 4[x + (-10 * -3 + x * -3)]
-12 + 10y = 4[x + (30 + -3x)]

Reorder the terms:
-12 + 10y = 4[30 + x + -3x]

Combine like terms: x + -3x = -2x
-12 + 10y = 4[30 + -2x]
-12 + 10y = [30 * 4 + -2x * 4]
-12 + 10y = [120 + -8x]

Solving
-12 + 10y = 120 + -8x

Solving for variable 'y'.

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

Add '12' to each side of the equation.
-12 + 12 + 10y = 120 + 12 + -8x

Combine like terms: -12 + 12 = 0
0 + 10y = 120 + 12 + -8x
10y = 120 + 12 + -8x

Combine like terms: 120 + 12 = 132
10y = 132 + -8x

Divide each side by '10'.
y = 13.2 + -0.8x

Simplifying
y = 13.2 + -0.8x

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