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Simplifying 3y + 3 = 6(y + 5) Reorder the terms: 3 + 3y = 6(y + 5) Reorder the terms: 3 + 3y = 6(5 + y) 3 + 3y = (5 * 6 + y * 6) 3 + 3y = (30 + 6y) Solving 3 + 3y = 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. 3 + 3y + -6y = 30 + 6y + -6y Combine like terms: 3y + -6y = -3y 3 + -3y = 30 + 6y + -6y Combine like terms: 6y + -6y = 0 3 + -3y = 30 + 0 3 + -3y = 30 Add '-3' to each side of the equation. 3 + -3 + -3y = 30 + -3 Combine like terms: 3 + -3 = 0 0 + -3y = 30 + -3 -3y = 30 + -3 Combine like terms: 30 + -3 = 27 -3y = 27 Divide each side by '-3'. y = -9 Simplifying y = -9
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