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Simplifying 42 + -1(3y + 2) = 2(y + 2) + 4y Reorder the terms: 42 + -1(2 + 3y) = 2(y + 2) + 4y 42 + (2 * -1 + 3y * -1) = 2(y + 2) + 4y 42 + (-2 + -3y) = 2(y + 2) + 4y Combine like terms: 42 + -2 = 40 40 + -3y = 2(y + 2) + 4y Reorder the terms: 40 + -3y = 2(2 + y) + 4y 40 + -3y = (2 * 2 + y * 2) + 4y 40 + -3y = (4 + 2y) + 4y Combine like terms: 2y + 4y = 6y 40 + -3y = 4 + 6y Solving 40 + -3y = 4 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 40 + -3y + -6y = 4 + 6y + -6y Combine like terms: -3y + -6y = -9y 40 + -9y = 4 + 6y + -6y Combine like terms: 6y + -6y = 0 40 + -9y = 4 + 0 40 + -9y = 4 Add '-40' to each side of the equation. 40 + -40 + -9y = 4 + -40 Combine like terms: 40 + -40 = 0 0 + -9y = 4 + -40 -9y = 4 + -40 Combine like terms: 4 + -40 = -36 -9y = -36 Divide each side by '-9'. y = 4 Simplifying y = 4
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