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Simplifying 4y + -8 + 2(3y + 5) = -5(y + 2) Reorder the terms: 4y + -8 + 2(5 + 3y) = -5(y + 2) 4y + -8 + (5 * 2 + 3y * 2) = -5(y + 2) 4y + -8 + (10 + 6y) = -5(y + 2) Reorder the terms: -8 + 10 + 4y + 6y = -5(y + 2) Combine like terms: -8 + 10 = 2 2 + 4y + 6y = -5(y + 2) Combine like terms: 4y + 6y = 10y 2 + 10y = -5(y + 2) Reorder the terms: 2 + 10y = -5(2 + y) 2 + 10y = (2 * -5 + y * -5) 2 + 10y = (-10 + -5y) Solving 2 + 10y = -10 + -5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5y' to each side of the equation. 2 + 10y + 5y = -10 + -5y + 5y Combine like terms: 10y + 5y = 15y 2 + 15y = -10 + -5y + 5y Combine like terms: -5y + 5y = 0 2 + 15y = -10 + 0 2 + 15y = -10 Add '-2' to each side of the equation. 2 + -2 + 15y = -10 + -2 Combine like terms: 2 + -2 = 0 0 + 15y = -10 + -2 15y = -10 + -2 Combine like terms: -10 + -2 = -12 15y = -12 Divide each side by '15'. y = -0.8 Simplifying y = -0.8
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