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Simplifying 5y + -1(13 + y) = y + 14 5y + (13 * -1 + y * -1) = y + 14 5y + (-13 + -1y) = y + 14 Reorder the terms: -13 + 5y + -1y = y + 14 Combine like terms: 5y + -1y = 4y -13 + 4y = y + 14 Reorder the terms: -13 + 4y = 14 + y Solving -13 + 4y = 14 + y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. -13 + 4y + -1y = 14 + y + -1y Combine like terms: 4y + -1y = 3y -13 + 3y = 14 + y + -1y Combine like terms: y + -1y = 0 -13 + 3y = 14 + 0 -13 + 3y = 14 Add '13' to each side of the equation. -13 + 13 + 3y = 14 + 13 Combine like terms: -13 + 13 = 0 0 + 3y = 14 + 13 3y = 14 + 13 Combine like terms: 14 + 13 = 27 3y = 27 Divide each side by '3'. y = 9 Simplifying y = 9
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