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Simplifying 5(3y + -5) + 7 = 2(6y + 1) + 24 Reorder the terms: 5(-5 + 3y) + 7 = 2(6y + 1) + 24 (-5 * 5 + 3y * 5) + 7 = 2(6y + 1) + 24 (-25 + 15y) + 7 = 2(6y + 1) + 24 Reorder the terms: -25 + 7 + 15y = 2(6y + 1) + 24 Combine like terms: -25 + 7 = -18 -18 + 15y = 2(6y + 1) + 24 Reorder the terms: -18 + 15y = 2(1 + 6y) + 24 -18 + 15y = (1 * 2 + 6y * 2) + 24 -18 + 15y = (2 + 12y) + 24 Reorder the terms: -18 + 15y = 2 + 24 + 12y Combine like terms: 2 + 24 = 26 -18 + 15y = 26 + 12y Solving -18 + 15y = 26 + 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. -18 + 15y + -12y = 26 + 12y + -12y Combine like terms: 15y + -12y = 3y -18 + 3y = 26 + 12y + -12y Combine like terms: 12y + -12y = 0 -18 + 3y = 26 + 0 -18 + 3y = 26 Add '18' to each side of the equation. -18 + 18 + 3y = 26 + 18 Combine like terms: -18 + 18 = 0 0 + 3y = 26 + 18 3y = 26 + 18 Combine like terms: 26 + 18 = 44 3y = 44 Divide each side by '3'. y = 14.66666667 Simplifying y = 14.66666667
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