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

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


Simplifying
5(2 + 3y) = 4 + -2(2y + 5)
(2 * 5 + 3y * 5) = 4 + -2(2y + 5)
(10 + 15y) = 4 + -2(2y + 5)

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

Combine like terms: 4 + -10 = -6
10 + 15y = -6 + -4y

Solving
10 + 15y = -6 + -4y

Solving for variable 'y'.

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

Add '4y' to each side of the equation.
10 + 15y + 4y = -6 + -4y + 4y

Combine like terms: 15y + 4y = 19y
10 + 19y = -6 + -4y + 4y

Combine like terms: -4y + 4y = 0
10 + 19y = -6 + 0
10 + 19y = -6

Add '-10' to each side of the equation.
10 + -10 + 19y = -6 + -10

Combine like terms: 10 + -10 = 0
0 + 19y = -6 + -10
19y = -6 + -10

Combine like terms: -6 + -10 = -16
19y = -16

Divide each side by '19'.
y = -0.8421052632

Simplifying
y = -0.8421052632

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