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Simplifying -4(5y + -10) + 2(4y + 9) = 0 Reorder the terms: -4(-10 + 5y) + 2(4y + 9) = 0 (-10 * -4 + 5y * -4) + 2(4y + 9) = 0 (40 + -20y) + 2(4y + 9) = 0 Reorder the terms: 40 + -20y + 2(9 + 4y) = 0 40 + -20y + (9 * 2 + 4y * 2) = 0 40 + -20y + (18 + 8y) = 0 Reorder the terms: 40 + 18 + -20y + 8y = 0 Combine like terms: 40 + 18 = 58 58 + -20y + 8y = 0 Combine like terms: -20y + 8y = -12y 58 + -12y = 0 Solving 58 + -12y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-58' to each side of the equation. 58 + -58 + -12y = 0 + -58 Combine like terms: 58 + -58 = 0 0 + -12y = 0 + -58 -12y = 0 + -58 Combine like terms: 0 + -58 = -58 -12y = -58 Divide each side by '-12'. y = 4.833333333 Simplifying y = 4.833333333
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