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Simplifying -2(y + -3y) + 3 = -2(5y + -1y) + 7 + 11y Combine like terms: y + -3y = -2y -2(-2y) + 3 = -2(5y + -1y) + 7 + 11y Remove parenthesis around (-2y) -2 * -2y + 3 = -2(5y + -1y) + 7 + 11y Multiply -2 * -2 4y + 3 = -2(5y + -1y) + 7 + 11y Reorder the terms: 3 + 4y = -2(5y + -1y) + 7 + 11y Combine like terms: 5y + -1y = 4y 3 + 4y = -2(4y) + 7 + 11y Remove parenthesis around (4y) 3 + 4y = -2 * 4y + 7 + 11y Multiply -2 * 4 3 + 4y = -8y + 7 + 11y Reorder the terms: 3 + 4y = 7 + -8y + 11y Combine like terms: -8y + 11y = 3y 3 + 4y = 7 + 3y Solving 3 + 4y = 7 + 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. 3 + 4y + -3y = 7 + 3y + -3y Combine like terms: 4y + -3y = 1y 3 + 1y = 7 + 3y + -3y Combine like terms: 3y + -3y = 0 3 + 1y = 7 + 0 3 + 1y = 7 Add '-3' to each side of the equation. 3 + -3 + 1y = 7 + -3 Combine like terms: 3 + -3 = 0 0 + 1y = 7 + -3 1y = 7 + -3 Combine like terms: 7 + -3 = 4 1y = 4 Divide each side by '1'. y = 4 Simplifying y = 4
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