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Simplifying -5(4y + -7) + 2(y + 10) = 0 Reorder the terms: -5(-7 + 4y) + 2(y + 10) = 0 (-7 * -5 + 4y * -5) + 2(y + 10) = 0 (35 + -20y) + 2(y + 10) = 0 Reorder the terms: 35 + -20y + 2(10 + y) = 0 35 + -20y + (10 * 2 + y * 2) = 0 35 + -20y + (20 + 2y) = 0 Reorder the terms: 35 + 20 + -20y + 2y = 0 Combine like terms: 35 + 20 = 55 55 + -20y + 2y = 0 Combine like terms: -20y + 2y = -18y 55 + -18y = 0 Solving 55 + -18y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-55' to each side of the equation. 55 + -55 + -18y = 0 + -55 Combine like terms: 55 + -55 = 0 0 + -18y = 0 + -55 -18y = 0 + -55 Combine like terms: 0 + -55 = -55 -18y = -55 Divide each side by '-18'. y = 3.055555556 Simplifying y = 3.055555556
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