1.6(2y+15)=-1.2(2y-10)

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Solution for 1.6(2y+15)=-1.2(2y-10) equation:


Simplifying
1.6(2y + 15) = -1.2(2y + -10)

Reorder the terms:
1.6(15 + 2y) = -1.2(2y + -10)
(15 * 1.6 + 2y * 1.6) = -1.2(2y + -10)
(24 + 3.2y) = -1.2(2y + -10)

Reorder the terms:
24 + 3.2y = -1.2(-10 + 2y)
24 + 3.2y = (-10 * -1.2 + 2y * -1.2)
24 + 3.2y = (12 + -2.4y)

Solving
24 + 3.2y = 12 + -2.4y

Solving for variable 'y'.

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

Add '2.4y' to each side of the equation.
24 + 3.2y + 2.4y = 12 + -2.4y + 2.4y

Combine like terms: 3.2y + 2.4y = 5.6y
24 + 5.6y = 12 + -2.4y + 2.4y

Combine like terms: -2.4y + 2.4y = 0.0
24 + 5.6y = 12 + 0.0
24 + 5.6y = 12

Add '-24' to each side of the equation.
24 + -24 + 5.6y = 12 + -24

Combine like terms: 24 + -24 = 0
0 + 5.6y = 12 + -24
5.6y = 12 + -24

Combine like terms: 12 + -24 = -12
5.6y = -12

Divide each side by '5.6'.
y = -2.142857143

Simplifying
y = -2.142857143

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