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Simplifying 17 + -1y + 8 + 3y + 2y = y(-7 + 3) + 1 Reorder the terms: 17 + 8 + -1y + 3y + 2y = y(-7 + 3) + 1 Combine like terms: 17 + 8 = 25 25 + -1y + 3y + 2y = y(-7 + 3) + 1 Combine like terms: -1y + 3y = 2y 25 + 2y + 2y = y(-7 + 3) + 1 Combine like terms: 2y + 2y = 4y 25 + 4y = y(-7 + 3) + 1 Combine like terms: -7 + 3 = -4 25 + 4y = y(-4) + 1 Reorder the terms for easier multiplication: 25 + 4y = -4y + 1 Reorder the terms: 25 + 4y = 1 + -4y Solving 25 + 4y = 1 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. 25 + 4y + 4y = 1 + -4y + 4y Combine like terms: 4y + 4y = 8y 25 + 8y = 1 + -4y + 4y Combine like terms: -4y + 4y = 0 25 + 8y = 1 + 0 25 + 8y = 1 Add '-25' to each side of the equation. 25 + -25 + 8y = 1 + -25 Combine like terms: 25 + -25 = 0 0 + 8y = 1 + -25 8y = 1 + -25 Combine like terms: 1 + -25 = -24 8y = -24 Divide each side by '8'. y = -3 Simplifying y = -3
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