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Simplifying 30 + 2y = (5y + 4) + -1(3 + 6y) Reorder the terms: 30 + 2y = (4 + 5y) + -1(3 + 6y) Remove parenthesis around (4 + 5y) 30 + 2y = 4 + 5y + -1(3 + 6y) 30 + 2y = 4 + 5y + (3 * -1 + 6y * -1) 30 + 2y = 4 + 5y + (-3 + -6y) Reorder the terms: 30 + 2y = 4 + -3 + 5y + -6y Combine like terms: 4 + -3 = 1 30 + 2y = 1 + 5y + -6y Combine like terms: 5y + -6y = -1y 30 + 2y = 1 + -1y Solving 30 + 2y = 1 + -1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add 'y' to each side of the equation. 30 + 2y + y = 1 + -1y + y Combine like terms: 2y + y = 3y 30 + 3y = 1 + -1y + y Combine like terms: -1y + y = 0 30 + 3y = 1 + 0 30 + 3y = 1 Add '-30' to each side of the equation. 30 + -30 + 3y = 1 + -30 Combine like terms: 30 + -30 = 0 0 + 3y = 1 + -30 3y = 1 + -30 Combine like terms: 1 + -30 = -29 3y = -29 Divide each side by '3'. y = -9.666666667 Simplifying y = -9.666666667
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