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Simplifying 4 + 2(2y + -4) = -5(4y + -1) + 9y Reorder the terms: 4 + 2(-4 + 2y) = -5(4y + -1) + 9y 4 + (-4 * 2 + 2y * 2) = -5(4y + -1) + 9y 4 + (-8 + 4y) = -5(4y + -1) + 9y Combine like terms: 4 + -8 = -4 -4 + 4y = -5(4y + -1) + 9y Reorder the terms: -4 + 4y = -5(-1 + 4y) + 9y -4 + 4y = (-1 * -5 + 4y * -5) + 9y -4 + 4y = (5 + -20y) + 9y Combine like terms: -20y + 9y = -11y -4 + 4y = 5 + -11y Solving -4 + 4y = 5 + -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. -4 + 4y + 11y = 5 + -11y + 11y Combine like terms: 4y + 11y = 15y -4 + 15y = 5 + -11y + 11y Combine like terms: -11y + 11y = 0 -4 + 15y = 5 + 0 -4 + 15y = 5 Add '4' to each side of the equation. -4 + 4 + 15y = 5 + 4 Combine like terms: -4 + 4 = 0 0 + 15y = 5 + 4 15y = 5 + 4 Combine like terms: 5 + 4 = 9 15y = 9 Divide each side by '15'. y = 0.6 Simplifying y = 0.6
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