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Simplifying 8(y + -1) = 3y + -38 Reorder the terms: 8(-1 + y) = 3y + -38 (-1 * 8 + y * 8) = 3y + -38 (-8 + 8y) = 3y + -38 Reorder the terms: -8 + 8y = -38 + 3y Solving -8 + 8y = -38 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -8 + 8y + -3y = -38 + 3y + -3y Combine like terms: 8y + -3y = 5y -8 + 5y = -38 + 3y + -3y Combine like terms: 3y + -3y = 0 -8 + 5y = -38 + 0 -8 + 5y = -38 Add '8' to each side of the equation. -8 + 8 + 5y = -38 + 8 Combine like terms: -8 + 8 = 0 0 + 5y = -38 + 8 5y = -38 + 8 Combine like terms: -38 + 8 = -30 5y = -30 Divide each side by '5'. y = -6 Simplifying y = -6
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