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Simplifying 5(y + -1) + -1(2y + -5) = 5(3y + 1) + 19 Reorder the terms: 5(-1 + y) + -1(2y + -5) = 5(3y + 1) + 19 (-1 * 5 + y * 5) + -1(2y + -5) = 5(3y + 1) + 19 (-5 + 5y) + -1(2y + -5) = 5(3y + 1) + 19 Reorder the terms: -5 + 5y + -1(-5 + 2y) = 5(3y + 1) + 19 -5 + 5y + (-5 * -1 + 2y * -1) = 5(3y + 1) + 19 -5 + 5y + (5 + -2y) = 5(3y + 1) + 19 Reorder the terms: -5 + 5 + 5y + -2y = 5(3y + 1) + 19 Combine like terms: -5 + 5 = 0 0 + 5y + -2y = 5(3y + 1) + 19 5y + -2y = 5(3y + 1) + 19 Combine like terms: 5y + -2y = 3y 3y = 5(3y + 1) + 19 Reorder the terms: 3y = 5(1 + 3y) + 19 3y = (1 * 5 + 3y * 5) + 19 3y = (5 + 15y) + 19 Reorder the terms: 3y = 5 + 19 + 15y Combine like terms: 5 + 19 = 24 3y = 24 + 15y Solving 3y = 24 + 15y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-15y' to each side of the equation. 3y + -15y = 24 + 15y + -15y Combine like terms: 3y + -15y = -12y -12y = 24 + 15y + -15y Combine like terms: 15y + -15y = 0 -12y = 24 + 0 -12y = 24 Divide each side by '-12'. y = -2 Simplifying y = -2
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