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Simplifying 8(y + -3) = 5y + -45 Reorder the terms: 8(-3 + y) = 5y + -45 (-3 * 8 + y * 8) = 5y + -45 (-24 + 8y) = 5y + -45 Reorder the terms: -24 + 8y = -45 + 5y Solving -24 + 8y = -45 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. -24 + 8y + -5y = -45 + 5y + -5y Combine like terms: 8y + -5y = 3y -24 + 3y = -45 + 5y + -5y Combine like terms: 5y + -5y = 0 -24 + 3y = -45 + 0 -24 + 3y = -45 Add '24' to each side of the equation. -24 + 24 + 3y = -45 + 24 Combine like terms: -24 + 24 = 0 0 + 3y = -45 + 24 3y = -45 + 24 Combine like terms: -45 + 24 = -21 3y = -21 Divide each side by '3'. y = -7 Simplifying y = -7
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