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Simplifying 3(5y + -20) = 9(2 + y) + 3y Reorder the terms: 3(-20 + 5y) = 9(2 + y) + 3y (-20 * 3 + 5y * 3) = 9(2 + y) + 3y (-60 + 15y) = 9(2 + y) + 3y -60 + 15y = (2 * 9 + y * 9) + 3y -60 + 15y = (18 + 9y) + 3y Combine like terms: 9y + 3y = 12y -60 + 15y = 18 + 12y Solving -60 + 15y = 18 + 12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12y' to each side of the equation. -60 + 15y + -12y = 18 + 12y + -12y Combine like terms: 15y + -12y = 3y -60 + 3y = 18 + 12y + -12y Combine like terms: 12y + -12y = 0 -60 + 3y = 18 + 0 -60 + 3y = 18 Add '60' to each side of the equation. -60 + 60 + 3y = 18 + 60 Combine like terms: -60 + 60 = 0 0 + 3y = 18 + 60 3y = 18 + 60 Combine like terms: 18 + 60 = 78 3y = 78 Divide each side by '3'. y = 26 Simplifying y = 26
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