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Simplifying 5(3y + 4) + 10 = 6(2y + 2) + 5 Reorder the terms: 5(4 + 3y) + 10 = 6(2y + 2) + 5 (4 * 5 + 3y * 5) + 10 = 6(2y + 2) + 5 (20 + 15y) + 10 = 6(2y + 2) + 5 Reorder the terms: 20 + 10 + 15y = 6(2y + 2) + 5 Combine like terms: 20 + 10 = 30 30 + 15y = 6(2y + 2) + 5 Reorder the terms: 30 + 15y = 6(2 + 2y) + 5 30 + 15y = (2 * 6 + 2y * 6) + 5 30 + 15y = (12 + 12y) + 5 Reorder the terms: 30 + 15y = 12 + 5 + 12y Combine like terms: 12 + 5 = 17 30 + 15y = 17 + 12y Solving 30 + 15y = 17 + 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. 30 + 15y + -12y = 17 + 12y + -12y Combine like terms: 15y + -12y = 3y 30 + 3y = 17 + 12y + -12y Combine like terms: 12y + -12y = 0 30 + 3y = 17 + 0 30 + 3y = 17 Add '-30' to each side of the equation. 30 + -30 + 3y = 17 + -30 Combine like terms: 30 + -30 = 0 0 + 3y = 17 + -30 3y = 17 + -30 Combine like terms: 17 + -30 = -13 3y = -13 Divide each side by '3'. y = -4.333333333 Simplifying y = -4.333333333
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