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Simplifying 12y + -1(3y + -1) + -1(2y + -35) = y + 58 Reorder the terms: 12y + -1(-1 + 3y) + -1(2y + -35) = y + 58 12y + (-1 * -1 + 3y * -1) + -1(2y + -35) = y + 58 12y + (1 + -3y) + -1(2y + -35) = y + 58 Reorder the terms: 12y + 1 + -3y + -1(-35 + 2y) = y + 58 12y + 1 + -3y + (-35 * -1 + 2y * -1) = y + 58 12y + 1 + -3y + (35 + -2y) = y + 58 Reorder the terms: 1 + 35 + 12y + -3y + -2y = y + 58 Combine like terms: 1 + 35 = 36 36 + 12y + -3y + -2y = y + 58 Combine like terms: 12y + -3y = 9y 36 + 9y + -2y = y + 58 Combine like terms: 9y + -2y = 7y 36 + 7y = y + 58 Reorder the terms: 36 + 7y = 58 + y Solving 36 + 7y = 58 + y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. 36 + 7y + -1y = 58 + y + -1y Combine like terms: 7y + -1y = 6y 36 + 6y = 58 + y + -1y Combine like terms: y + -1y = 0 36 + 6y = 58 + 0 36 + 6y = 58 Add '-36' to each side of the equation. 36 + -36 + 6y = 58 + -36 Combine like terms: 36 + -36 = 0 0 + 6y = 58 + -36 6y = 58 + -36 Combine like terms: 58 + -36 = 22 6y = 22 Divide each side by '6'. y = 3.666666667 Simplifying y = 3.666666667
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