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Simplifying 7(4y + -6) + -1(4y + 5) = 0 Reorder the terms: 7(-6 + 4y) + -1(4y + 5) = 0 (-6 * 7 + 4y * 7) + -1(4y + 5) = 0 (-42 + 28y) + -1(4y + 5) = 0 Reorder the terms: -42 + 28y + -1(5 + 4y) = 0 -42 + 28y + (5 * -1 + 4y * -1) = 0 -42 + 28y + (-5 + -4y) = 0 Reorder the terms: -42 + -5 + 28y + -4y = 0 Combine like terms: -42 + -5 = -47 -47 + 28y + -4y = 0 Combine like terms: 28y + -4y = 24y -47 + 24y = 0 Solving -47 + 24y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '47' to each side of the equation. -47 + 47 + 24y = 0 + 47 Combine like terms: -47 + 47 = 0 0 + 24y = 0 + 47 24y = 0 + 47 Combine like terms: 0 + 47 = 47 24y = 47 Divide each side by '24'. y = 1.958333333 Simplifying y = 1.958333333
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