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Simplifying -6y + -9(8y + -2) = -4 + 3(-7 + -1y) Reorder the terms: -6y + -9(-2 + 8y) = -4 + 3(-7 + -1y) -6y + (-2 * -9 + 8y * -9) = -4 + 3(-7 + -1y) -6y + (18 + -72y) = -4 + 3(-7 + -1y) Reorder the terms: 18 + -6y + -72y = -4 + 3(-7 + -1y) Combine like terms: -6y + -72y = -78y 18 + -78y = -4 + 3(-7 + -1y) 18 + -78y = -4 + (-7 * 3 + -1y * 3) 18 + -78y = -4 + (-21 + -3y) Combine like terms: -4 + -21 = -25 18 + -78y = -25 + -3y Solving 18 + -78y = -25 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. 18 + -78y + 3y = -25 + -3y + 3y Combine like terms: -78y + 3y = -75y 18 + -75y = -25 + -3y + 3y Combine like terms: -3y + 3y = 0 18 + -75y = -25 + 0 18 + -75y = -25 Add '-18' to each side of the equation. 18 + -18 + -75y = -25 + -18 Combine like terms: 18 + -18 = 0 0 + -75y = -25 + -18 -75y = -25 + -18 Combine like terms: -25 + -18 = -43 -75y = -43 Divide each side by '-75'. y = 0.5733333333 Simplifying y = 0.5733333333
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