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Simplifying 29 + -1(2y + -1) = 3(y + -2) + 4y Reorder the terms: 29 + -1(-1 + 2y) = 3(y + -2) + 4y 29 + (-1 * -1 + 2y * -1) = 3(y + -2) + 4y 29 + (1 + -2y) = 3(y + -2) + 4y Combine like terms: 29 + 1 = 30 30 + -2y = 3(y + -2) + 4y Reorder the terms: 30 + -2y = 3(-2 + y) + 4y 30 + -2y = (-2 * 3 + y * 3) + 4y 30 + -2y = (-6 + 3y) + 4y Combine like terms: 3y + 4y = 7y 30 + -2y = -6 + 7y Solving 30 + -2y = -6 + 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. 30 + -2y + -7y = -6 + 7y + -7y Combine like terms: -2y + -7y = -9y 30 + -9y = -6 + 7y + -7y Combine like terms: 7y + -7y = 0 30 + -9y = -6 + 0 30 + -9y = -6 Add '-30' to each side of the equation. 30 + -30 + -9y = -6 + -30 Combine like terms: 30 + -30 = 0 0 + -9y = -6 + -30 -9y = -6 + -30 Combine like terms: -6 + -30 = -36 -9y = -36 Divide each side by '-9'. y = 4 Simplifying y = 4
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