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Simplifying 5y + 30 = 2(y + 6) Reorder the terms: 30 + 5y = 2(y + 6) Reorder the terms: 30 + 5y = 2(6 + y) 30 + 5y = (6 * 2 + y * 2) 30 + 5y = (12 + 2y) Solving 30 + 5y = 12 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 30 + 5y + -2y = 12 + 2y + -2y Combine like terms: 5y + -2y = 3y 30 + 3y = 12 + 2y + -2y Combine like terms: 2y + -2y = 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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