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