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Simplifying 5 + -5(3y + 2) = 3(-2y + 8) + 6 Reorder the terms: 5 + -5(2 + 3y) = 3(-2y + 8) + 6 5 + (2 * -5 + 3y * -5) = 3(-2y + 8) + 6 5 + (-10 + -15y) = 3(-2y + 8) + 6 Combine like terms: 5 + -10 = -5 -5 + -15y = 3(-2y + 8) + 6 Reorder the terms: -5 + -15y = 3(8 + -2y) + 6 -5 + -15y = (8 * 3 + -2y * 3) + 6 -5 + -15y = (24 + -6y) + 6 Reorder the terms: -5 + -15y = 24 + 6 + -6y Combine like terms: 24 + 6 = 30 -5 + -15y = 30 + -6y Solving -5 + -15y = 30 + -6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6y' to each side of the equation. -5 + -15y + 6y = 30 + -6y + 6y Combine like terms: -15y + 6y = -9y -5 + -9y = 30 + -6y + 6y Combine like terms: -6y + 6y = 0 -5 + -9y = 30 + 0 -5 + -9y = 30 Add '5' to each side of the equation. -5 + 5 + -9y = 30 + 5 Combine like terms: -5 + 5 = 0 0 + -9y = 30 + 5 -9y = 30 + 5 Combine like terms: 30 + 5 = 35 -9y = 35 Divide each side by '-9'. y = -3.888888889 Simplifying y = -3.888888889
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