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Simplifying 3(y + 5) = 6y + -6 Reorder the terms: 3(5 + y) = 6y + -6 (5 * 3 + y * 3) = 6y + -6 (15 + 3y) = 6y + -6 Reorder the terms: 15 + 3y = -6 + 6y Solving 15 + 3y = -6 + 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 + 3y + -6y = -6 + 6y + -6y Combine like terms: 3y + -6y = -3y 15 + -3y = -6 + 6y + -6y Combine like terms: 6y + -6y = 0 15 + -3y = -6 + 0 15 + -3y = -6 Add '-15' to each side of the equation. 15 + -15 + -3y = -6 + -15 Combine like terms: 15 + -15 = 0 0 + -3y = -6 + -15 -3y = -6 + -15 Combine like terms: -6 + -15 = -21 -3y = -21 Divide each side by '-3'. y = 7 Simplifying y = 7
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