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Simplifying 6y + 30 = 3(y + 4) Reorder the terms: 30 + 6y = 3(y + 4) Reorder the terms: 30 + 6y = 3(4 + y) 30 + 6y = (4 * 3 + y * 3) 30 + 6y = (12 + 3y) Solving 30 + 6y = 12 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 30 + 6y + -3y = 12 + 3y + -3y Combine like terms: 6y + -3y = 3y 30 + 3y = 12 + 3y + -3y Combine like terms: 3y + -3y = 0 30 + 3y = 12 + 0 30 + 3y = 12 Add '-30' to each side of the equation. 30 + -30 + 3y = 12 + -30 Combine like terms: 30 + -30 = 0 0 + 3y = 12 + -30 3y = 12 + -30 Combine like terms: 12 + -30 = -18 3y = -18 Divide each side by '3'. y = -6 Simplifying y = -6
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