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Simplifying 5(2y + 6) = -4(-5 + -2y) + 3y Reorder the terms: 5(6 + 2y) = -4(-5 + -2y) + 3y (6 * 5 + 2y * 5) = -4(-5 + -2y) + 3y (30 + 10y) = -4(-5 + -2y) + 3y 30 + 10y = (-5 * -4 + -2y * -4) + 3y 30 + 10y = (20 + 8y) + 3y Combine like terms: 8y + 3y = 11y 30 + 10y = 20 + 11y Solving 30 + 10y = 20 + 11y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-11y' to each side of the equation. 30 + 10y + -11y = 20 + 11y + -11y Combine like terms: 10y + -11y = -1y 30 + -1y = 20 + 11y + -11y Combine like terms: 11y + -11y = 0 30 + -1y = 20 + 0 30 + -1y = 20 Add '-30' to each side of the equation. 30 + -30 + -1y = 20 + -30 Combine like terms: 30 + -30 = 0 0 + -1y = 20 + -30 -1y = 20 + -30 Combine like terms: 20 + -30 = -10 -1y = -10 Divide each side by '-1'. y = 10 Simplifying y = 10
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