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Simplifying -4(5y + -10) + 3(2y + 6) = 0 Reorder the terms: -4(-10 + 5y) + 3(2y + 6) = 0 (-10 * -4 + 5y * -4) + 3(2y + 6) = 0 (40 + -20y) + 3(2y + 6) = 0 Reorder the terms: 40 + -20y + 3(6 + 2y) = 0 40 + -20y + (6 * 3 + 2y * 3) = 0 40 + -20y + (18 + 6y) = 0 Reorder the terms: 40 + 18 + -20y + 6y = 0 Combine like terms: 40 + 18 = 58 58 + -20y + 6y = 0 Combine like terms: -20y + 6y = -14y 58 + -14y = 0 Solving 58 + -14y = 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 + -14y = 0 + -58 Combine like terms: 58 + -58 = 0 0 + -14y = 0 + -58 -14y = 0 + -58 Combine like terms: 0 + -58 = -58 -14y = -58 Divide each side by '-14'. y = 4.142857143 Simplifying y = 4.142857143
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