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Simplifying 4(3y + -1) + 13 = 15y + 2 Reorder the terms: 4(-1 + 3y) + 13 = 15y + 2 (-1 * 4 + 3y * 4) + 13 = 15y + 2 (-4 + 12y) + 13 = 15y + 2 Reorder the terms: -4 + 13 + 12y = 15y + 2 Combine like terms: -4 + 13 = 9 9 + 12y = 15y + 2 Reorder the terms: 9 + 12y = 2 + 15y Solving 9 + 12y = 2 + 15y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-15y' to each side of the equation. 9 + 12y + -15y = 2 + 15y + -15y Combine like terms: 12y + -15y = -3y 9 + -3y = 2 + 15y + -15y Combine like terms: 15y + -15y = 0 9 + -3y = 2 + 0 9 + -3y = 2 Add '-9' to each side of the equation. 9 + -9 + -3y = 2 + -9 Combine like terms: 9 + -9 = 0 0 + -3y = 2 + -9 -3y = 2 + -9 Combine like terms: 2 + -9 = -7 -3y = -7 Divide each side by '-3'. y = 2.333333333 Simplifying y = 2.333333333
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