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Simplifying 5(y + 8) = 6(y + -2) Reorder the terms: 5(8 + y) = 6(y + -2) (8 * 5 + y * 5) = 6(y + -2) (40 + 5y) = 6(y + -2) Reorder the terms: 40 + 5y = 6(-2 + y) 40 + 5y = (-2 * 6 + y * 6) 40 + 5y = (-12 + 6y) Solving 40 + 5y = -12 + 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. 40 + 5y + -6y = -12 + 6y + -6y Combine like terms: 5y + -6y = -1y 40 + -1y = -12 + 6y + -6y Combine like terms: 6y + -6y = 0 40 + -1y = -12 + 0 40 + -1y = -12 Add '-40' to each side of the equation. 40 + -40 + -1y = -12 + -40 Combine like terms: 40 + -40 = 0 0 + -1y = -12 + -40 -1y = -12 + -40 Combine like terms: -12 + -40 = -52 -1y = -52 Divide each side by '-1'. y = 52 Simplifying y = 52
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