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Simplifying 5(3y + 12) = 17y Reorder the terms: 5(12 + 3y) = 17y (12 * 5 + 3y * 5) = 17y (60 + 15y) = 17y Solving 60 + 15y = 17y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-17y' to each side of the equation. 60 + 15y + -17y = 17y + -17y Combine like terms: 15y + -17y = -2y 60 + -2y = 17y + -17y Combine like terms: 17y + -17y = 0 60 + -2y = 0 Add '-60' to each side of the equation. 60 + -60 + -2y = 0 + -60 Combine like terms: 60 + -60 = 0 0 + -2y = 0 + -60 -2y = 0 + -60 Combine like terms: 0 + -60 = -60 -2y = -60 Divide each side by '-2'. y = 30 Simplifying y = 30
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