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Simplifying 5(2y + 4) + -1(20y + -18) = 8 + -5y Reorder the terms: 5(4 + 2y) + -1(20y + -18) = 8 + -5y (4 * 5 + 2y * 5) + -1(20y + -18) = 8 + -5y (20 + 10y) + -1(20y + -18) = 8 + -5y Reorder the terms: 20 + 10y + -1(-18 + 20y) = 8 + -5y 20 + 10y + (-18 * -1 + 20y * -1) = 8 + -5y 20 + 10y + (18 + -20y) = 8 + -5y Reorder the terms: 20 + 18 + 10y + -20y = 8 + -5y Combine like terms: 20 + 18 = 38 38 + 10y + -20y = 8 + -5y Combine like terms: 10y + -20y = -10y 38 + -10y = 8 + -5y Solving 38 + -10y = 8 + -5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5y' to each side of the equation. 38 + -10y + 5y = 8 + -5y + 5y Combine like terms: -10y + 5y = -5y 38 + -5y = 8 + -5y + 5y Combine like terms: -5y + 5y = 0 38 + -5y = 8 + 0 38 + -5y = 8 Add '-38' to each side of the equation. 38 + -38 + -5y = 8 + -38 Combine like terms: 38 + -38 = 0 0 + -5y = 8 + -38 -5y = 8 + -38 Combine like terms: 8 + -38 = -30 -5y = -30 Divide each side by '-5'. y = 6 Simplifying y = 6
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