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Simplifying -3(y + -5y) + 9 = -4(2y + -1y) + 5 + 15y Combine like terms: y + -5y = -4y -3(-4y) + 9 = -4(2y + -1y) + 5 + 15y Remove parenthesis around (-4y) -3 * -4y + 9 = -4(2y + -1y) + 5 + 15y Multiply -3 * -4 12y + 9 = -4(2y + -1y) + 5 + 15y Reorder the terms: 9 + 12y = -4(2y + -1y) + 5 + 15y Combine like terms: 2y + -1y = 1y 9 + 12y = -4(1y) + 5 + 15y Remove parenthesis around (1y) 9 + 12y = -4 * 1y + 5 + 15y Multiply -4 * 1 9 + 12y = -4y + 5 + 15y Reorder the terms: 9 + 12y = 5 + -4y + 15y Combine like terms: -4y + 15y = 11y 9 + 12y = 5 + 11y Solving 9 + 12y = 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. 9 + 12y + -11y = 5 + 11y + -11y Combine like terms: 12y + -11y = 1y 9 + 1y = 5 + 11y + -11y Combine like terms: 11y + -11y = 0 9 + 1y = 5 + 0 9 + 1y = 5 Add '-9' to each side of the equation. 9 + -9 + 1y = 5 + -9 Combine like terms: 9 + -9 = 0 0 + 1y = 5 + -9 1y = 5 + -9 Combine like terms: 5 + -9 = -4 1y = -4 Divide each side by '1'. y = -4 Simplifying y = -4
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