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Simplifying 9(2y + -8) + -1(2y + 2) = 0 Reorder the terms: 9(-8 + 2y) + -1(2y + 2) = 0 (-8 * 9 + 2y * 9) + -1(2y + 2) = 0 (-72 + 18y) + -1(2y + 2) = 0 Reorder the terms: -72 + 18y + -1(2 + 2y) = 0 -72 + 18y + (2 * -1 + 2y * -1) = 0 -72 + 18y + (-2 + -2y) = 0 Reorder the terms: -72 + -2 + 18y + -2y = 0 Combine like terms: -72 + -2 = -74 -74 + 18y + -2y = 0 Combine like terms: 18y + -2y = 16y -74 + 16y = 0 Solving -74 + 16y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '74' to each side of the equation. -74 + 74 + 16y = 0 + 74 Combine like terms: -74 + 74 = 0 0 + 16y = 0 + 74 16y = 0 + 74 Combine like terms: 0 + 74 = 74 16y = 74 Divide each side by '16'. y = 4.625 Simplifying y = 4.625
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