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Simplifying 3(6y + -1) + 17 = 6(2y + -4) + 9 Reorder the terms: 3(-1 + 6y) + 17 = 6(2y + -4) + 9 (-1 * 3 + 6y * 3) + 17 = 6(2y + -4) + 9 (-3 + 18y) + 17 = 6(2y + -4) + 9 Reorder the terms: -3 + 17 + 18y = 6(2y + -4) + 9 Combine like terms: -3 + 17 = 14 14 + 18y = 6(2y + -4) + 9 Reorder the terms: 14 + 18y = 6(-4 + 2y) + 9 14 + 18y = (-4 * 6 + 2y * 6) + 9 14 + 18y = (-24 + 12y) + 9 Reorder the terms: 14 + 18y = -24 + 9 + 12y Combine like terms: -24 + 9 = -15 14 + 18y = -15 + 12y Solving 14 + 18y = -15 + 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. 14 + 18y + -12y = -15 + 12y + -12y Combine like terms: 18y + -12y = 6y 14 + 6y = -15 + 12y + -12y Combine like terms: 12y + -12y = 0 14 + 6y = -15 + 0 14 + 6y = -15 Add '-14' to each side of the equation. 14 + -14 + 6y = -15 + -14 Combine like terms: 14 + -14 = 0 0 + 6y = -15 + -14 6y = -15 + -14 Combine like terms: -15 + -14 = -29 6y = -29 Divide each side by '6'. y = -4.833333333 Simplifying y = -4.833333333
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