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Simplifying 6(7y + -7) + -1(3y + 8) = 0 Reorder the terms: 6(-7 + 7y) + -1(3y + 8) = 0 (-7 * 6 + 7y * 6) + -1(3y + 8) = 0 (-42 + 42y) + -1(3y + 8) = 0 Reorder the terms: -42 + 42y + -1(8 + 3y) = 0 -42 + 42y + (8 * -1 + 3y * -1) = 0 -42 + 42y + (-8 + -3y) = 0 Reorder the terms: -42 + -8 + 42y + -3y = 0 Combine like terms: -42 + -8 = -50 -50 + 42y + -3y = 0 Combine like terms: 42y + -3y = 39y -50 + 39y = 0 Solving -50 + 39y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '50' to each side of the equation. -50 + 50 + 39y = 0 + 50 Combine like terms: -50 + 50 = 0 0 + 39y = 0 + 50 39y = 0 + 50 Combine like terms: 0 + 50 = 50 39y = 50 Divide each side by '39'. y = 1.282051282 Simplifying y = 1.282051282
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