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Simplifying 17 + -1y = 14(3y + -7) Reorder the terms: 17 + -1y = 14(-7 + 3y) 17 + -1y = (-7 * 14 + 3y * 14) 17 + -1y = (-98 + 42y) Solving 17 + -1y = -98 + 42y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-42y' to each side of the equation. 17 + -1y + -42y = -98 + 42y + -42y Combine like terms: -1y + -42y = -43y 17 + -43y = -98 + 42y + -42y Combine like terms: 42y + -42y = 0 17 + -43y = -98 + 0 17 + -43y = -98 Add '-17' to each side of the equation. 17 + -17 + -43y = -98 + -17 Combine like terms: 17 + -17 = 0 0 + -43y = -98 + -17 -43y = -98 + -17 Combine like terms: -98 + -17 = -115 -43y = -115 Divide each side by '-43'. y = 2.674418605 Simplifying y = 2.674418605
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