6y-4(2y+5)=40

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Solution for 6y-4(2y+5)=40 equation:


Simplifying
6y + -4(2y + 5) = 40

Reorder the terms:
6y + -4(5 + 2y) = 40
6y + (5 * -4 + 2y * -4) = 40
6y + (-20 + -8y) = 40

Reorder the terms:
-20 + 6y + -8y = 40

Combine like terms: 6y + -8y = -2y
-20 + -2y = 40

Solving
-20 + -2y = 40

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 + -2y = 40 + 20

Combine like terms: -20 + 20 = 0
0 + -2y = 40 + 20
-2y = 40 + 20

Combine like terms: 40 + 20 = 60
-2y = 60

Divide each side by '-2'.
y = -30

Simplifying
y = -30

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