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Simplifying -3 + -11 + 10(4y + -3) = -2(-5y + 5) + 6y Reorder the terms: -3 + -11 + 10(-3 + 4y) = -2(-5y + 5) + 6y -3 + -11 + (-3 * 10 + 4y * 10) = -2(-5y + 5) + 6y -3 + -11 + (-30 + 40y) = -2(-5y + 5) + 6y Combine like terms: -3 + -11 = -14 -14 + -30 + 40y = -2(-5y + 5) + 6y Combine like terms: -14 + -30 = -44 -44 + 40y = -2(-5y + 5) + 6y Reorder the terms: -44 + 40y = -2(5 + -5y) + 6y -44 + 40y = (5 * -2 + -5y * -2) + 6y -44 + 40y = (-10 + 10y) + 6y Combine like terms: 10y + 6y = 16y -44 + 40y = -10 + 16y Solving -44 + 40y = -10 + 16y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-16y' to each side of the equation. -44 + 40y + -16y = -10 + 16y + -16y Combine like terms: 40y + -16y = 24y -44 + 24y = -10 + 16y + -16y Combine like terms: 16y + -16y = 0 -44 + 24y = -10 + 0 -44 + 24y = -10 Add '44' to each side of the equation. -44 + 44 + 24y = -10 + 44 Combine like terms: -44 + 44 = 0 0 + 24y = -10 + 44 24y = -10 + 44 Combine like terms: -10 + 44 = 34 24y = 34 Divide each side by '24'. y = 1.416666667 Simplifying y = 1.416666667
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