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Simplifying 5(y + 2) = 4(y + -6) Reorder the terms: 5(2 + y) = 4(y + -6) (2 * 5 + y * 5) = 4(y + -6) (10 + 5y) = 4(y + -6) Reorder the terms: 10 + 5y = 4(-6 + y) 10 + 5y = (-6 * 4 + y * 4) 10 + 5y = (-24 + 4y) Solving 10 + 5y = -24 + 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. 10 + 5y + -4y = -24 + 4y + -4y Combine like terms: 5y + -4y = 1y 10 + 1y = -24 + 4y + -4y Combine like terms: 4y + -4y = 0 10 + 1y = -24 + 0 10 + 1y = -24 Add '-10' to each side of the equation. 10 + -10 + 1y = -24 + -10 Combine like terms: 10 + -10 = 0 0 + 1y = -24 + -10 1y = -24 + -10 Combine like terms: -24 + -10 = -34 1y = -34 Divide each side by '1'. y = -34 Simplifying y = -34
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