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Simplifying -1(10y + 5) + (-3y + -35) = 2(3y + -5) + 10 Reorder the terms: -1(5 + 10y) + (-3y + -35) = 2(3y + -5) + 10 (5 * -1 + 10y * -1) + (-3y + -35) = 2(3y + -5) + 10 (-5 + -10y) + (-3y + -35) = 2(3y + -5) + 10 Reorder the terms: -5 + -10y + (-35 + -3y) = 2(3y + -5) + 10 Remove parenthesis around (-35 + -3y) -5 + -10y + -35 + -3y = 2(3y + -5) + 10 Reorder the terms: -5 + -35 + -10y + -3y = 2(3y + -5) + 10 Combine like terms: -5 + -35 = -40 -40 + -10y + -3y = 2(3y + -5) + 10 Combine like terms: -10y + -3y = -13y -40 + -13y = 2(3y + -5) + 10 Reorder the terms: -40 + -13y = 2(-5 + 3y) + 10 -40 + -13y = (-5 * 2 + 3y * 2) + 10 -40 + -13y = (-10 + 6y) + 10 Reorder the terms: -40 + -13y = -10 + 10 + 6y Combine like terms: -10 + 10 = 0 -40 + -13y = 0 + 6y -40 + -13y = 6y Solving -40 + -13y = 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. -40 + -13y + -6y = 6y + -6y Combine like terms: -13y + -6y = -19y -40 + -19y = 6y + -6y Combine like terms: 6y + -6y = 0 -40 + -19y = 0 Add '40' to each side of the equation. -40 + 40 + -19y = 0 + 40 Combine like terms: -40 + 40 = 0 0 + -19y = 0 + 40 -19y = 0 + 40 Combine like terms: 0 + 40 = 40 -19y = 40 Divide each side by '-19'. y = -2.105263158 Simplifying y = -2.105263158
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