2y+5(y-4)=3x+2

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Solution for 2y+5(y-4)=3x+2 equation:


Simplifying
2y + 5(y + -4) = 3x + 2

Reorder the terms:
2y + 5(-4 + y) = 3x + 2
2y + (-4 * 5 + y * 5) = 3x + 2
2y + (-20 + 5y) = 3x + 2

Reorder the terms:
-20 + 2y + 5y = 3x + 2

Combine like terms: 2y + 5y = 7y
-20 + 7y = 3x + 2

Reorder the terms:
-20 + 7y = 2 + 3x

Solving
-20 + 7y = 2 + 3x

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 + 7y = 2 + 20 + 3x

Combine like terms: -20 + 20 = 0
0 + 7y = 2 + 20 + 3x
7y = 2 + 20 + 3x

Combine like terms: 2 + 20 = 22
7y = 22 + 3x

Divide each side by '7'.
y = 3.142857143 + 0.4285714286x

Simplifying
y = 3.142857143 + 0.4285714286x

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