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Simplifying 5(y + -2) + 6 = y + 8 Reorder the terms: 5(-2 + y) + 6 = y + 8 (-2 * 5 + y * 5) + 6 = y + 8 (-10 + 5y) + 6 = y + 8 Reorder the terms: -10 + 6 + 5y = y + 8 Combine like terms: -10 + 6 = -4 -4 + 5y = y + 8 Reorder the terms: -4 + 5y = 8 + y Solving -4 + 5y = 8 + y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. -4 + 5y + -1y = 8 + y + -1y Combine like terms: 5y + -1y = 4y -4 + 4y = 8 + y + -1y Combine like terms: y + -1y = 0 -4 + 4y = 8 + 0 -4 + 4y = 8 Add '4' to each side of the equation. -4 + 4 + 4y = 8 + 4 Combine like terms: -4 + 4 = 0 0 + 4y = 8 + 4 4y = 8 + 4 Combine like terms: 8 + 4 = 12 4y = 12 Divide each side by '4'. y = 3 Simplifying y = 3
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