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Simplifying 2(5 + -3y) + -5(y + 11) = 10 + -3(5y + -1) (5 * 2 + -3y * 2) + -5(y + 11) = 10 + -3(5y + -1) (10 + -6y) + -5(y + 11) = 10 + -3(5y + -1) Reorder the terms: 10 + -6y + -5(11 + y) = 10 + -3(5y + -1) 10 + -6y + (11 * -5 + y * -5) = 10 + -3(5y + -1) 10 + -6y + (-55 + -5y) = 10 + -3(5y + -1) Reorder the terms: 10 + -55 + -6y + -5y = 10 + -3(5y + -1) Combine like terms: 10 + -55 = -45 -45 + -6y + -5y = 10 + -3(5y + -1) Combine like terms: -6y + -5y = -11y -45 + -11y = 10 + -3(5y + -1) Reorder the terms: -45 + -11y = 10 + -3(-1 + 5y) -45 + -11y = 10 + (-1 * -3 + 5y * -3) -45 + -11y = 10 + (3 + -15y) Combine like terms: 10 + 3 = 13 -45 + -11y = 13 + -15y Solving -45 + -11y = 13 + -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. -45 + -11y + 15y = 13 + -15y + 15y Combine like terms: -11y + 15y = 4y -45 + 4y = 13 + -15y + 15y Combine like terms: -15y + 15y = 0 -45 + 4y = 13 + 0 -45 + 4y = 13 Add '45' to each side of the equation. -45 + 45 + 4y = 13 + 45 Combine like terms: -45 + 45 = 0 0 + 4y = 13 + 45 4y = 13 + 45 Combine like terms: 13 + 45 = 58 4y = 58 Divide each side by '4'. y = 14.5 Simplifying y = 14.5
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