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Simplifying -3(3y + -5) + 5y = 6(y + 5) Reorder the terms: -3(-5 + 3y) + 5y = 6(y + 5) (-5 * -3 + 3y * -3) + 5y = 6(y + 5) (15 + -9y) + 5y = 6(y + 5) Combine like terms: -9y + 5y = -4y 15 + -4y = 6(y + 5) Reorder the terms: 15 + -4y = 6(5 + y) 15 + -4y = (5 * 6 + y * 6) 15 + -4y = (30 + 6y) Solving 15 + -4y = 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. 15 + -4y + -6y = 30 + 6y + -6y Combine like terms: -4y + -6y = -10y 15 + -10y = 30 + 6y + -6y Combine like terms: 6y + -6y = 0 15 + -10y = 30 + 0 15 + -10y = 30 Add '-15' to each side of the equation. 15 + -15 + -10y = 30 + -15 Combine like terms: 15 + -15 = 0 0 + -10y = 30 + -15 -10y = 30 + -15 Combine like terms: 30 + -15 = 15 -10y = 15 Divide each side by '-10'. y = -1.5 Simplifying y = -1.5
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