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Simplifying 6(5y + -8) + -1(4y + 7) = 0 Reorder the terms: 6(-8 + 5y) + -1(4y + 7) = 0 (-8 * 6 + 5y * 6) + -1(4y + 7) = 0 (-48 + 30y) + -1(4y + 7) = 0 Reorder the terms: -48 + 30y + -1(7 + 4y) = 0 -48 + 30y + (7 * -1 + 4y * -1) = 0 -48 + 30y + (-7 + -4y) = 0 Reorder the terms: -48 + -7 + 30y + -4y = 0 Combine like terms: -48 + -7 = -55 -55 + 30y + -4y = 0 Combine like terms: 30y + -4y = 26y -55 + 26y = 0 Solving -55 + 26y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '55' to each side of the equation. -55 + 55 + 26y = 0 + 55 Combine like terms: -55 + 55 = 0 0 + 26y = 0 + 55 26y = 0 + 55 Combine like terms: 0 + 55 = 55 26y = 55 Divide each side by '26'. y = 2.115384615 Simplifying y = 2.115384615
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