4(2.5-2y)=-3(y+3)

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Solution for 4(2.5-2y)=-3(y+3) equation:


Simplifying
4(2.5 + -2y) = -3(y + 3)
(2.5 * 4 + -2y * 4) = -3(y + 3)
(10 + -8y) = -3(y + 3)

Reorder the terms:
10 + -8y = -3(3 + y)
10 + -8y = (3 * -3 + y * -3)
10 + -8y = (-9 + -3y)

Solving
10 + -8y = -9 + -3y

Solving for variable 'y'.

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

Add '3y' to each side of the equation.
10 + -8y + 3y = -9 + -3y + 3y

Combine like terms: -8y + 3y = -5y
10 + -5y = -9 + -3y + 3y

Combine like terms: -3y + 3y = 0
10 + -5y = -9 + 0
10 + -5y = -9

Add '-10' to each side of the equation.
10 + -10 + -5y = -9 + -10

Combine like terms: 10 + -10 = 0
0 + -5y = -9 + -10
-5y = -9 + -10

Combine like terms: -9 + -10 = -19
-5y = -19

Divide each side by '-5'.
y = 3.8

Simplifying
y = 3.8

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