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Simplifying 6(y + 4) = -4y + 34 Reorder the terms: 6(4 + y) = -4y + 34 (4 * 6 + y * 6) = -4y + 34 (24 + 6y) = -4y + 34 Reorder the terms: 24 + 6y = 34 + -4y Solving 24 + 6y = 34 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. 24 + 6y + 4y = 34 + -4y + 4y Combine like terms: 6y + 4y = 10y 24 + 10y = 34 + -4y + 4y Combine like terms: -4y + 4y = 0 24 + 10y = 34 + 0 24 + 10y = 34 Add '-24' to each side of the equation. 24 + -24 + 10y = 34 + -24 Combine like terms: 24 + -24 = 0 0 + 10y = 34 + -24 10y = 34 + -24 Combine like terms: 34 + -24 = 10 10y = 10 Divide each side by '10'. y = 1 Simplifying y = 1
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