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Simplifying 8(7y + -6) + -1(5y + 3) = 0 Reorder the terms: 8(-6 + 7y) + -1(5y + 3) = 0 (-6 * 8 + 7y * 8) + -1(5y + 3) = 0 (-48 + 56y) + -1(5y + 3) = 0 Reorder the terms: -48 + 56y + -1(3 + 5y) = 0 -48 + 56y + (3 * -1 + 5y * -1) = 0 -48 + 56y + (-3 + -5y) = 0 Reorder the terms: -48 + -3 + 56y + -5y = 0 Combine like terms: -48 + -3 = -51 -51 + 56y + -5y = 0 Combine like terms: 56y + -5y = 51y -51 + 51y = 0 Solving -51 + 51y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '51' to each side of the equation. -51 + 51 + 51y = 0 + 51 Combine like terms: -51 + 51 = 0 0 + 51y = 0 + 51 51y = 0 + 51 Combine like terms: 0 + 51 = 51 51y = 51 Divide each side by '51'. y = 1 Simplifying y = 1
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