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Simplifying 29 + -1(3y + -1) = 2(y + -1) + 3y Reorder the terms: 29 + -1(-1 + 3y) = 2(y + -1) + 3y 29 + (-1 * -1 + 3y * -1) = 2(y + -1) + 3y 29 + (1 + -3y) = 2(y + -1) + 3y Combine like terms: 29 + 1 = 30 30 + -3y = 2(y + -1) + 3y Reorder the terms: 30 + -3y = 2(-1 + y) + 3y 30 + -3y = (-1 * 2 + y * 2) + 3y 30 + -3y = (-2 + 2y) + 3y Combine like terms: 2y + 3y = 5y 30 + -3y = -2 + 5y Solving 30 + -3y = -2 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. 30 + -3y + -5y = -2 + 5y + -5y Combine like terms: -3y + -5y = -8y 30 + -8y = -2 + 5y + -5y Combine like terms: 5y + -5y = 0 30 + -8y = -2 + 0 30 + -8y = -2 Add '-30' to each side of the equation. 30 + -30 + -8y = -2 + -30 Combine like terms: 30 + -30 = 0 0 + -8y = -2 + -30 -8y = -2 + -30 Combine like terms: -2 + -30 = -32 -8y = -32 Divide each side by '-8'. y = 4 Simplifying y = 4
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