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Simplifying 3(y + -3) + -6 = -3(-5y + 8) + -6y Reorder the terms: 3(-3 + y) + -6 = -3(-5y + 8) + -6y (-3 * 3 + y * 3) + -6 = -3(-5y + 8) + -6y (-9 + 3y) + -6 = -3(-5y + 8) + -6y Reorder the terms: -9 + -6 + 3y = -3(-5y + 8) + -6y Combine like terms: -9 + -6 = -15 -15 + 3y = -3(-5y + 8) + -6y Reorder the terms: -15 + 3y = -3(8 + -5y) + -6y -15 + 3y = (8 * -3 + -5y * -3) + -6y -15 + 3y = (-24 + 15y) + -6y Combine like terms: 15y + -6y = 9y -15 + 3y = -24 + 9y Solving -15 + 3y = -24 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. -15 + 3y + -9y = -24 + 9y + -9y Combine like terms: 3y + -9y = -6y -15 + -6y = -24 + 9y + -9y Combine like terms: 9y + -9y = 0 -15 + -6y = -24 + 0 -15 + -6y = -24 Add '15' to each side of the equation. -15 + 15 + -6y = -24 + 15 Combine like terms: -15 + 15 = 0 0 + -6y = -24 + 15 -6y = -24 + 15 Combine like terms: -24 + 15 = -9 -6y = -9 Divide each side by '-6'. y = 1.5 Simplifying y = 1.5
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