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Simplifying 4y + -1(y + -5) = y + 13 Reorder the terms: 4y + -1(-5 + y) = y + 13 4y + (-5 * -1 + y * -1) = y + 13 4y + (5 + -1y) = y + 13 Reorder the terms: 5 + 4y + -1y = y + 13 Combine like terms: 4y + -1y = 3y 5 + 3y = y + 13 Reorder the terms: 5 + 3y = 13 + y Solving 5 + 3y = 13 + 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. 5 + 3y + -1y = 13 + y + -1y Combine like terms: 3y + -1y = 2y 5 + 2y = 13 + y + -1y Combine like terms: y + -1y = 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 = 8 2y = 8 Divide each side by '2'. y = 4 Simplifying y = 4
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