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Simplifying 8(5y + -6) = 8y Reorder the terms: 8(-6 + 5y) = 8y (-6 * 8 + 5y * 8) = 8y (-48 + 40y) = 8y Solving -48 + 40y = 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. -48 + 40y + -8y = 8y + -8y Combine like terms: 40y + -8y = 32y -48 + 32y = 8y + -8y Combine like terms: 8y + -8y = 0 -48 + 32y = 0 Add '48' to each side of the equation. -48 + 48 + 32y = 0 + 48 Combine like terms: -48 + 48 = 0 0 + 32y = 0 + 48 32y = 0 + 48 Combine like terms: 0 + 48 = 48 32y = 48 Divide each side by '32'. y = 1.5 Simplifying y = 1.5
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