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Simplifying -4(5y + -10) + 2(4y + 7) = 0 Reorder the terms: -4(-10 + 5y) + 2(4y + 7) = 0 (-10 * -4 + 5y * -4) + 2(4y + 7) = 0 (40 + -20y) + 2(4y + 7) = 0 Reorder the terms: 40 + -20y + 2(7 + 4y) = 0 40 + -20y + (7 * 2 + 4y * 2) = 0 40 + -20y + (14 + 8y) = 0 Reorder the terms: 40 + 14 + -20y + 8y = 0 Combine like terms: 40 + 14 = 54 54 + -20y + 8y = 0 Combine like terms: -20y + 8y = -12y 54 + -12y = 0 Solving 54 + -12y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-54' to each side of the equation. 54 + -54 + -12y = 0 + -54 Combine like terms: 54 + -54 = 0 0 + -12y = 0 + -54 -12y = 0 + -54 Combine like terms: 0 + -54 = -54 -12y = -54 Divide each side by '-12'. y = 4.5 Simplifying y = 4.5
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