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Simplifying 2y + -1(5 + -1y) = 13 + 5y 2y + (5 * -1 + -1y * -1) = 13 + 5y 2y + (-5 + 1y) = 13 + 5y Reorder the terms: -5 + 2y + 1y = 13 + 5y Combine like terms: 2y + 1y = 3y -5 + 3y = 13 + 5y Solving -5 + 3y = 13 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. -5 + 3y + -5y = 13 + 5y + -5y Combine like terms: 3y + -5y = -2y -5 + -2y = 13 + 5y + -5y Combine like terms: 5y + -5y = 0 -5 + -2y = 13 + 0 -5 + -2y = 13 Add '5' to each side of the equation. -5 + 5 + -2y = 13 + 5 Combine like terms: -5 + 5 = 0 0 + -2y = 13 + 5 -2y = 13 + 5 Combine like terms: 13 + 5 = 18 -2y = 18 Divide each side by '-2'. y = -9 Simplifying y = -9
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