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Simplifying -4(3y + -10) + 2(2y + 10) = 0 Reorder the terms: -4(-10 + 3y) + 2(2y + 10) = 0 (-10 * -4 + 3y * -4) + 2(2y + 10) = 0 (40 + -12y) + 2(2y + 10) = 0 Reorder the terms: 40 + -12y + 2(10 + 2y) = 0 40 + -12y + (10 * 2 + 2y * 2) = 0 40 + -12y + (20 + 4y) = 0 Reorder the terms: 40 + 20 + -12y + 4y = 0 Combine like terms: 40 + 20 = 60 60 + -12y + 4y = 0 Combine like terms: -12y + 4y = -8y 60 + -8y = 0 Solving 60 + -8y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + -8y = 0 + -60 Combine like terms: 60 + -60 = 0 0 + -8y = 0 + -60 -8y = 0 + -60 Combine like terms: 0 + -60 = -60 -8y = -60 Divide each side by '-8'. y = 7.5 Simplifying y = 7.5
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