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Simplifying 5(3y + 5) + 8 = 2(6y + -1) + 1 Reorder the terms: 5(5 + 3y) + 8 = 2(6y + -1) + 1 (5 * 5 + 3y * 5) + 8 = 2(6y + -1) + 1 (25 + 15y) + 8 = 2(6y + -1) + 1 Reorder the terms: 25 + 8 + 15y = 2(6y + -1) + 1 Combine like terms: 25 + 8 = 33 33 + 15y = 2(6y + -1) + 1 Reorder the terms: 33 + 15y = 2(-1 + 6y) + 1 33 + 15y = (-1 * 2 + 6y * 2) + 1 33 + 15y = (-2 + 12y) + 1 Reorder the terms: 33 + 15y = -2 + 1 + 12y Combine like terms: -2 + 1 = -1 33 + 15y = -1 + 12y Solving 33 + 15y = -1 + 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. 33 + 15y + -12y = -1 + 12y + -12y Combine like terms: 15y + -12y = 3y 33 + 3y = -1 + 12y + -12y Combine like terms: 12y + -12y = 0 33 + 3y = -1 + 0 33 + 3y = -1 Add '-33' to each side of the equation. 33 + -33 + 3y = -1 + -33 Combine like terms: 33 + -33 = 0 0 + 3y = -1 + -33 3y = -1 + -33 Combine like terms: -1 + -33 = -34 3y = -34 Divide each side by '3'. y = -11.33333333 Simplifying y = -11.33333333
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