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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 = 5y -10 + 5y = -1(3y + -35) + -1y Reorder the terms: -10 + 5y = -1(-35 + 3y) + -1y -10 + 5y = (-35 * -1 + 3y * -1) + -1y -10 + 5y = (35 + -3y) + -1y Combine like terms: -3y + -1y = -4y -10 + 5y = 35 + -4y Solving -10 + 5y = 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 + 5y + 4y = 35 + -4y + 4y Combine like terms: 5y + 4y = 9y -10 + 9y = 35 + -4y + 4y Combine like terms: -4y + 4y = 0 -10 + 9y = 35 + 0 -10 + 9y = 35 Add '10' to each side of the equation. -10 + 10 + 9y = 35 + 10 Combine like terms: -10 + 10 = 0 0 + 9y = 35 + 10 9y = 35 + 10 Combine like terms: 35 + 10 = 45 9y = 45 Divide each side by '9'. y = 5 Simplifying y = 5
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