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Simplifying 8(y + -3) = 6y + -34 Reorder the terms: 8(-3 + y) = 6y + -34 (-3 * 8 + y * 8) = 6y + -34 (-24 + 8y) = 6y + -34 Reorder the terms: -24 + 8y = -34 + 6y Solving -24 + 8y = -34 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. -24 + 8y + -6y = -34 + 6y + -6y Combine like terms: 8y + -6y = 2y -24 + 2y = -34 + 6y + -6y Combine like terms: 6y + -6y = 0 -24 + 2y = -34 + 0 -24 + 2y = -34 Add '24' to each side of the equation. -24 + 24 + 2y = -34 + 24 Combine like terms: -24 + 24 = 0 0 + 2y = -34 + 24 2y = -34 + 24 Combine like terms: -34 + 24 = -10 2y = -10 Divide each side by '2'. y = -5 Simplifying y = -5
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