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Simplifying 5(6y + -5) + -1(7y + 7) = 0 Reorder the terms: 5(-5 + 6y) + -1(7y + 7) = 0 (-5 * 5 + 6y * 5) + -1(7y + 7) = 0 (-25 + 30y) + -1(7y + 7) = 0 Reorder the terms: -25 + 30y + -1(7 + 7y) = 0 -25 + 30y + (7 * -1 + 7y * -1) = 0 -25 + 30y + (-7 + -7y) = 0 Reorder the terms: -25 + -7 + 30y + -7y = 0 Combine like terms: -25 + -7 = -32 -32 + 30y + -7y = 0 Combine like terms: 30y + -7y = 23y -32 + 23y = 0 Solving -32 + 23y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + 23y = 0 + 32 Combine like terms: -32 + 32 = 0 0 + 23y = 0 + 32 23y = 0 + 32 Combine like terms: 0 + 32 = 32 23y = 32 Divide each side by '23'. y = 1.391304348 Simplifying y = 1.391304348
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