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Simplifying 8(4y + -5) + 3(5y + 7) = 0 Reorder the terms: 8(-5 + 4y) + 3(5y + 7) = 0 (-5 * 8 + 4y * 8) + 3(5y + 7) = 0 (-40 + 32y) + 3(5y + 7) = 0 Reorder the terms: -40 + 32y + 3(7 + 5y) = 0 -40 + 32y + (7 * 3 + 5y * 3) = 0 -40 + 32y + (21 + 15y) = 0 Reorder the terms: -40 + 21 + 32y + 15y = 0 Combine like terms: -40 + 21 = -19 -19 + 32y + 15y = 0 Combine like terms: 32y + 15y = 47y -19 + 47y = 0 Solving -19 + 47y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 47y = 0 + 19 Combine like terms: -19 + 19 = 0 0 + 47y = 0 + 19 47y = 0 + 19 Combine like terms: 0 + 19 = 19 47y = 19 Divide each side by '47'. y = 0.4042553191 Simplifying y = 0.4042553191
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