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Simplifying -4(y + -4y) + 9 = -3(3y + -1y) + 7 + 17y Combine like terms: y + -4y = -3y -4(-3y) + 9 = -3(3y + -1y) + 7 + 17y Remove parenthesis around (-3y) -4 * -3y + 9 = -3(3y + -1y) + 7 + 17y Multiply -4 * -3 12y + 9 = -3(3y + -1y) + 7 + 17y Reorder the terms: 9 + 12y = -3(3y + -1y) + 7 + 17y Combine like terms: 3y + -1y = 2y 9 + 12y = -3(2y) + 7 + 17y Remove parenthesis around (2y) 9 + 12y = -3 * 2y + 7 + 17y Multiply -3 * 2 9 + 12y = -6y + 7 + 17y Reorder the terms: 9 + 12y = 7 + -6y + 17y Combine like terms: -6y + 17y = 11y 9 + 12y = 7 + 11y Solving 9 + 12y = 7 + 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. 9 + 12y + -11y = 7 + 11y + -11y Combine like terms: 12y + -11y = 1y 9 + 1y = 7 + 11y + -11y Combine like terms: 11y + -11y = 0 9 + 1y = 7 + 0 9 + 1y = 7 Add '-9' to each side of the equation. 9 + -9 + 1y = 7 + -9 Combine like terms: 9 + -9 = 0 0 + 1y = 7 + -9 1y = 7 + -9 Combine like terms: 7 + -9 = -2 1y = -2 Divide each side by '1'. y = -2 Simplifying y = -2
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