.4(15y+10)-2(4y+5)=0

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Solution for .4(15y+10)-2(4y+5)=0 equation:


Simplifying
0.4(15y + 10) + -2(4y + 5) = 0

Reorder the terms:
0.4(10 + 15y) + -2(4y + 5) = 0
(10 * 0.4 + 15y * 0.4) + -2(4y + 5) = 0
(4 + 6y) + -2(4y + 5) = 0

Reorder the terms:
4 + 6y + -2(5 + 4y) = 0
4 + 6y + (5 * -2 + 4y * -2) = 0
4 + 6y + (-10 + -8y) = 0

Reorder the terms:
4 + -10 + 6y + -8y = 0

Combine like terms: 4 + -10 = -6
-6 + 6y + -8y = 0

Combine like terms: 6y + -8y = -2y
-6 + -2y = 0

Solving
-6 + -2y = 0

Solving for variable 'y'.

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

Add '6' to each side of the equation.
-6 + 6 + -2y = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -2y = 0 + 6
-2y = 0 + 6

Combine like terms: 0 + 6 = 6
-2y = 6

Divide each side by '-2'.
y = -3

Simplifying
y = -3

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