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