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Simplifying 8(6 + 5y) = 2(-5 + 4y) (6 * 8 + 5y * 8) = 2(-5 + 4y) (48 + 40y) = 2(-5 + 4y) 48 + 40y = (-5 * 2 + 4y * 2) 48 + 40y = (-10 + 8y) Solving 48 + 40y = -10 + 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 = -10 + 8y + -8y Combine like terms: 40y + -8y = 32y 48 + 32y = -10 + 8y + -8y Combine like terms: 8y + -8y = 0 48 + 32y = -10 + 0 48 + 32y = -10 Add '-48' to each side of the equation. 48 + -48 + 32y = -10 + -48 Combine like terms: 48 + -48 = 0 0 + 32y = -10 + -48 32y = -10 + -48 Combine like terms: -10 + -48 = -58 32y = -58 Divide each side by '32'. y = -1.8125 Simplifying y = -1.8125
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