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Simplifying 5y + 3 + -7y + 1 = 3y + 8y + 17 Reorder the terms: 3 + 1 + 5y + -7y = 3y + 8y + 17 Combine like terms: 3 + 1 = 4 4 + 5y + -7y = 3y + 8y + 17 Combine like terms: 5y + -7y = -2y 4 + -2y = 3y + 8y + 17 Reorder the terms: 4 + -2y = 17 + 3y + 8y Combine like terms: 3y + 8y = 11y 4 + -2y = 17 + 11y Solving 4 + -2y = 17 + 11y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-11y' to each side of the equation. 4 + -2y + -11y = 17 + 11y + -11y Combine like terms: -2y + -11y = -13y 4 + -13y = 17 + 11y + -11y Combine like terms: 11y + -11y = 0 4 + -13y = 17 + 0 4 + -13y = 17 Add '-4' to each side of the equation. 4 + -4 + -13y = 17 + -4 Combine like terms: 4 + -4 = 0 0 + -13y = 17 + -4 -13y = 17 + -4 Combine like terms: 17 + -4 = 13 -13y = 13 Divide each side by '-13'. y = -1 Simplifying y = -1
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