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Simplifying 6(y + -5) = 8y + -34 Reorder the terms: 6(-5 + y) = 8y + -34 (-5 * 6 + y * 6) = 8y + -34 (-30 + 6y) = 8y + -34 Reorder the terms: -30 + 6y = -34 + 8y Solving -30 + 6y = -34 + 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. -30 + 6y + -8y = -34 + 8y + -8y Combine like terms: 6y + -8y = -2y -30 + -2y = -34 + 8y + -8y Combine like terms: 8y + -8y = 0 -30 + -2y = -34 + 0 -30 + -2y = -34 Add '30' to each side of the equation. -30 + 30 + -2y = -34 + 30 Combine like terms: -30 + 30 = 0 0 + -2y = -34 + 30 -2y = -34 + 30 Combine like terms: -34 + 30 = -4 -2y = -4 Divide each side by '-2'. y = 2 Simplifying y = 2
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