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Simplifying 6(7y + -9) + -1(4y + 4) = 0 Reorder the terms: 6(-9 + 7y) + -1(4y + 4) = 0 (-9 * 6 + 7y * 6) + -1(4y + 4) = 0 (-54 + 42y) + -1(4y + 4) = 0 Reorder the terms: -54 + 42y + -1(4 + 4y) = 0 -54 + 42y + (4 * -1 + 4y * -1) = 0 -54 + 42y + (-4 + -4y) = 0 Reorder the terms: -54 + -4 + 42y + -4y = 0 Combine like terms: -54 + -4 = -58 -58 + 42y + -4y = 0 Combine like terms: 42y + -4y = 38y -58 + 38y = 0 Solving -58 + 38y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '58' to each side of the equation. -58 + 58 + 38y = 0 + 58 Combine like terms: -58 + 58 = 0 0 + 38y = 0 + 58 38y = 0 + 58 Combine like terms: 0 + 58 = 58 38y = 58 Divide each side by '38'. y = 1.526315789 Simplifying y = 1.526315789
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