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Simplifying 3(5y + 1) + 1 = 6(2y + -5) + 10 Reorder the terms: 3(1 + 5y) + 1 = 6(2y + -5) + 10 (1 * 3 + 5y * 3) + 1 = 6(2y + -5) + 10 (3 + 15y) + 1 = 6(2y + -5) + 10 Reorder the terms: 3 + 1 + 15y = 6(2y + -5) + 10 Combine like terms: 3 + 1 = 4 4 + 15y = 6(2y + -5) + 10 Reorder the terms: 4 + 15y = 6(-5 + 2y) + 10 4 + 15y = (-5 * 6 + 2y * 6) + 10 4 + 15y = (-30 + 12y) + 10 Reorder the terms: 4 + 15y = -30 + 10 + 12y Combine like terms: -30 + 10 = -20 4 + 15y = -20 + 12y Solving 4 + 15y = -20 + 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. 4 + 15y + -12y = -20 + 12y + -12y Combine like terms: 15y + -12y = 3y 4 + 3y = -20 + 12y + -12y Combine like terms: 12y + -12y = 0 4 + 3y = -20 + 0 4 + 3y = -20 Add '-4' to each side of the equation. 4 + -4 + 3y = -20 + -4 Combine like terms: 4 + -4 = 0 0 + 3y = -20 + -4 3y = -20 + -4 Combine like terms: -20 + -4 = -24 3y = -24 Divide each side by '3'. y = -8 Simplifying y = -8
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