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Simplifying 3y + -2(y + -5) = -1(3y + -35) + -1y Reorder the terms: 3y + -2(-5 + y) = -1(3y + -35) + -1y 3y + (-5 * -2 + y * -2) = -1(3y + -35) + -1y 3y + (10 + -2y) = -1(3y + -35) + -1y Reorder the terms: 10 + 3y + -2y = -1(3y + -35) + -1y Combine like terms: 3y + -2y = 1y 10 + 1y = -1(3y + -35) + -1y Reorder the terms: 10 + 1y = -1(-35 + 3y) + -1y 10 + 1y = (-35 * -1 + 3y * -1) + -1y 10 + 1y = (35 + -3y) + -1y Combine like terms: -3y + -1y = -4y 10 + 1y = 35 + -4y Solving 10 + 1y = 35 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. 10 + 1y + 4y = 35 + -4y + 4y Combine like terms: 1y + 4y = 5y 10 + 5y = 35 + -4y + 4y Combine like terms: -4y + 4y = 0 10 + 5y = 35 + 0 10 + 5y = 35 Add '-10' to each side of the equation. 10 + -10 + 5y = 35 + -10 Combine like terms: 10 + -10 = 0 0 + 5y = 35 + -10 5y = 35 + -10 Combine like terms: 35 + -10 = 25 5y = 25 Divide each side by '5'. y = 5 Simplifying y = 5
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