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Simplifying 2 + (-6y + -3) = 4(6y + 7) + 8 Reorder the terms: 2 + (-3 + -6y) = 4(6y + 7) + 8 Remove parenthesis around (-3 + -6y) 2 + -3 + -6y = 4(6y + 7) + 8 Combine like terms: 2 + -3 = -1 -1 + -6y = 4(6y + 7) + 8 Reorder the terms: -1 + -6y = 4(7 + 6y) + 8 -1 + -6y = (7 * 4 + 6y * 4) + 8 -1 + -6y = (28 + 24y) + 8 Reorder the terms: -1 + -6y = 28 + 8 + 24y Combine like terms: 28 + 8 = 36 -1 + -6y = 36 + 24y Solving -1 + -6y = 36 + 24y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-24y' to each side of the equation. -1 + -6y + -24y = 36 + 24y + -24y Combine like terms: -6y + -24y = -30y -1 + -30y = 36 + 24y + -24y Combine like terms: 24y + -24y = 0 -1 + -30y = 36 + 0 -1 + -30y = 36 Add '1' to each side of the equation. -1 + 1 + -30y = 36 + 1 Combine like terms: -1 + 1 = 0 0 + -30y = 36 + 1 -30y = 36 + 1 Combine like terms: 36 + 1 = 37 -30y = 37 Divide each side by '-30'. y = -1.233333333 Simplifying y = -1.233333333
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