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Simplifying 5(2y + 7) + 2(4y + -8) = 0 Reorder the terms: 5(7 + 2y) + 2(4y + -8) = 0 (7 * 5 + 2y * 5) + 2(4y + -8) = 0 (35 + 10y) + 2(4y + -8) = 0 Reorder the terms: 35 + 10y + 2(-8 + 4y) = 0 35 + 10y + (-8 * 2 + 4y * 2) = 0 35 + 10y + (-16 + 8y) = 0 Reorder the terms: 35 + -16 + 10y + 8y = 0 Combine like terms: 35 + -16 = 19 19 + 10y + 8y = 0 Combine like terms: 10y + 8y = 18y 19 + 18y = 0 Solving 19 + 18y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 18y = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 18y = 0 + -19 18y = 0 + -19 Combine like terms: 0 + -19 = -19 18y = -19 Divide each side by '18'. y = -1.055555556 Simplifying y = -1.055555556
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