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Simplifying 3y + 18 = 5(y + 6) Reorder the terms: 18 + 3y = 5(y + 6) Reorder the terms: 18 + 3y = 5(6 + y) 18 + 3y = (6 * 5 + y * 5) 18 + 3y = (30 + 5y) Solving 18 + 3y = 30 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. 18 + 3y + -5y = 30 + 5y + -5y Combine like terms: 3y + -5y = -2y 18 + -2y = 30 + 5y + -5y Combine like terms: 5y + -5y = 0 18 + -2y = 30 + 0 18 + -2y = 30 Add '-18' to each side of the equation. 18 + -18 + -2y = 30 + -18 Combine like terms: 18 + -18 = 0 0 + -2y = 30 + -18 -2y = 30 + -18 Combine like terms: 30 + -18 = 12 -2y = 12 Divide each side by '-2'. y = -6 Simplifying y = -6
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