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Simplifying 3(5y + 4) + -21 = 6(2y + 1) + 16 Reorder the terms: 3(4 + 5y) + -21 = 6(2y + 1) + 16 (4 * 3 + 5y * 3) + -21 = 6(2y + 1) + 16 (12 + 15y) + -21 = 6(2y + 1) + 16 Reorder the terms: 12 + -21 + 15y = 6(2y + 1) + 16 Combine like terms: 12 + -21 = -9 -9 + 15y = 6(2y + 1) + 16 Reorder the terms: -9 + 15y = 6(1 + 2y) + 16 -9 + 15y = (1 * 6 + 2y * 6) + 16 -9 + 15y = (6 + 12y) + 16 Reorder the terms: -9 + 15y = 6 + 16 + 12y Combine like terms: 6 + 16 = 22 -9 + 15y = 22 + 12y Solving -9 + 15y = 22 + 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. -9 + 15y + -12y = 22 + 12y + -12y Combine like terms: 15y + -12y = 3y -9 + 3y = 22 + 12y + -12y Combine like terms: 12y + -12y = 0 -9 + 3y = 22 + 0 -9 + 3y = 22 Add '9' to each side of the equation. -9 + 9 + 3y = 22 + 9 Combine like terms: -9 + 9 = 0 0 + 3y = 22 + 9 3y = 22 + 9 Combine like terms: 22 + 9 = 31 3y = 31 Divide each side by '3'. y = 10.33333333 Simplifying y = 10.33333333
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