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Simplifying 17 + 1y = 14 + -1(3y + -7) Reorder the terms: 17 + 1y = 14 + -1(-7 + 3y) 17 + 1y = 14 + (-7 * -1 + 3y * -1) 17 + 1y = 14 + (7 + -3y) Combine like terms: 14 + 7 = 21 17 + 1y = 21 + -3y Solving 17 + 1y = 21 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. 17 + 1y + 3y = 21 + -3y + 3y Combine like terms: 1y + 3y = 4y 17 + 4y = 21 + -3y + 3y Combine like terms: -3y + 3y = 0 17 + 4y = 21 + 0 17 + 4y = 21 Add '-17' to each side of the equation. 17 + -17 + 4y = 21 + -17 Combine like terms: 17 + -17 = 0 0 + 4y = 21 + -17 4y = 21 + -17 Combine like terms: 21 + -17 = 4 4y = 4 Divide each side by '4'. y = 1 Simplifying y = 1
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