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Simplifying -3(y + -4y) + 4 = -3(2y + -1y) + 9 + 11y Combine like terms: y + -4y = -3y -3(-3y) + 4 = -3(2y + -1y) + 9 + 11y Remove parenthesis around (-3y) -3 * -3y + 4 = -3(2y + -1y) + 9 + 11y Multiply -3 * -3 9y + 4 = -3(2y + -1y) + 9 + 11y Reorder the terms: 4 + 9y = -3(2y + -1y) + 9 + 11y Combine like terms: 2y + -1y = 1y 4 + 9y = -3(1y) + 9 + 11y Remove parenthesis around (1y) 4 + 9y = -3 * 1y + 9 + 11y Multiply -3 * 1 4 + 9y = -3y + 9 + 11y Reorder the terms: 4 + 9y = 9 + -3y + 11y Combine like terms: -3y + 11y = 8y 4 + 9y = 9 + 8y Solving 4 + 9y = 9 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. 4 + 9y + -8y = 9 + 8y + -8y Combine like terms: 9y + -8y = 1y 4 + 1y = 9 + 8y + -8y Combine like terms: 8y + -8y = 0 4 + 1y = 9 + 0 4 + 1y = 9 Add '-4' to each side of the equation. 4 + -4 + 1y = 9 + -4 Combine like terms: 4 + -4 = 0 0 + 1y = 9 + -4 1y = 9 + -4 Combine like terms: 9 + -4 = 5 1y = 5 Divide each side by '1'. y = 5 Simplifying y = 5
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