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Simplifying -4(3y + -10) + 2(2y + 5) = 0 Reorder the terms: -4(-10 + 3y) + 2(2y + 5) = 0 (-10 * -4 + 3y * -4) + 2(2y + 5) = 0 (40 + -12y) + 2(2y + 5) = 0 Reorder the terms: 40 + -12y + 2(5 + 2y) = 0 40 + -12y + (5 * 2 + 2y * 2) = 0 40 + -12y + (10 + 4y) = 0 Reorder the terms: 40 + 10 + -12y + 4y = 0 Combine like terms: 40 + 10 = 50 50 + -12y + 4y = 0 Combine like terms: -12y + 4y = -8y 50 + -8y = 0 Solving 50 + -8y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + -8y = 0 + -50 Combine like terms: 50 + -50 = 0 0 + -8y = 0 + -50 -8y = 0 + -50 Combine like terms: 0 + -50 = -50 -8y = -50 Divide each side by '-8'. y = 6.25 Simplifying y = 6.25
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