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Simplifying 5(2x + -9y + 8) = 10x + 2 Reorder the terms: 5(8 + 2x + -9y) = 10x + 2 (8 * 5 + 2x * 5 + -9y * 5) = 10x + 2 (40 + 10x + -45y) = 10x + 2 Reorder the terms: 40 + 10x + -45y = 2 + 10x Add '-10x' to each side of the equation. 40 + 10x + -10x + -45y = 2 + 10x + -10x Combine like terms: 10x + -10x = 0 40 + 0 + -45y = 2 + 10x + -10x 40 + -45y = 2 + 10x + -10x Combine like terms: 10x + -10x = 0 40 + -45y = 2 + 0 40 + -45y = 2 Solving 40 + -45y = 2 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + -45y = 2 + -40 Combine like terms: 40 + -40 = 0 0 + -45y = 2 + -40 -45y = 2 + -40 Combine like terms: 2 + -40 = -38 -45y = -38 Divide each side by '-45'. y = 0.8444444444 Simplifying y = 0.8444444444
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