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Simplifying 3(y + -3) = 6(y + 5) + -15 Reorder the terms: 3(-3 + y) = 6(y + 5) + -15 (-3 * 3 + y * 3) = 6(y + 5) + -15 (-9 + 3y) = 6(y + 5) + -15 Reorder the terms: -9 + 3y = 6(5 + y) + -15 -9 + 3y = (5 * 6 + y * 6) + -15 -9 + 3y = (30 + 6y) + -15 Reorder the terms: -9 + 3y = 30 + -15 + 6y Combine like terms: 30 + -15 = 15 -9 + 3y = 15 + 6y Solving -9 + 3y = 15 + 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. -9 + 3y + -6y = 15 + 6y + -6y Combine like terms: 3y + -6y = -3y -9 + -3y = 15 + 6y + -6y Combine like terms: 6y + -6y = 0 -9 + -3y = 15 + 0 -9 + -3y = 15 Add '9' to each side of the equation. -9 + 9 + -3y = 15 + 9 Combine like terms: -9 + 9 = 0 0 + -3y = 15 + 9 -3y = 15 + 9 Combine like terms: 15 + 9 = 24 -3y = 24 Divide each side by '-3'. y = -8 Simplifying y = -8
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