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Simplifying 12y + -1(11(2 + -1y) + -13) = 5y + 3(7 + -4y) 12y + -1((2 * 11 + -1y * 11) + -13) = 5y + 3(7 + -4y) 12y + -1((22 + -11y) + -13) = 5y + 3(7 + -4y) Reorder the terms: 12y + -1(22 + -13 + -11y) = 5y + 3(7 + -4y) Combine like terms: 22 + -13 = 9 12y + -1(9 + -11y) = 5y + 3(7 + -4y) 12y + (9 * -1 + -11y * -1) = 5y + 3(7 + -4y) 12y + (-9 + 11y) = 5y + 3(7 + -4y) Reorder the terms: -9 + 12y + 11y = 5y + 3(7 + -4y) Combine like terms: 12y + 11y = 23y -9 + 23y = 5y + 3(7 + -4y) -9 + 23y = 5y + (7 * 3 + -4y * 3) -9 + 23y = 5y + (21 + -12y) Reorder the terms: -9 + 23y = 21 + 5y + -12y Combine like terms: 5y + -12y = -7y -9 + 23y = 21 + -7y Solving -9 + 23y = 21 + -7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7y' to each side of the equation. -9 + 23y + 7y = 21 + -7y + 7y Combine like terms: 23y + 7y = 30y -9 + 30y = 21 + -7y + 7y Combine like terms: -7y + 7y = 0 -9 + 30y = 21 + 0 -9 + 30y = 21 Add '9' to each side of the equation. -9 + 9 + 30y = 21 + 9 Combine like terms: -9 + 9 = 0 0 + 30y = 21 + 9 30y = 21 + 9 Combine like terms: 21 + 9 = 30 30y = 30 Divide each side by '30'. y = 1 Simplifying y = 1
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