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Simplifying -3(y + -3y) + 5 = -4(4y + -1y) + 8 + 17y Combine like terms: y + -3y = -2y -3(-2y) + 5 = -4(4y + -1y) + 8 + 17y Remove parenthesis around (-2y) -3 * -2y + 5 = -4(4y + -1y) + 8 + 17y Multiply -3 * -2 6y + 5 = -4(4y + -1y) + 8 + 17y Reorder the terms: 5 + 6y = -4(4y + -1y) + 8 + 17y Combine like terms: 4y + -1y = 3y 5 + 6y = -4(3y) + 8 + 17y Remove parenthesis around (3y) 5 + 6y = -4 * 3y + 8 + 17y Multiply -4 * 3 5 + 6y = -12y + 8 + 17y Reorder the terms: 5 + 6y = 8 + -12y + 17y Combine like terms: -12y + 17y = 5y 5 + 6y = 8 + 5y Solving 5 + 6y = 8 + 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 = 8 + 5y + -5y Combine like terms: 6y + -5y = 1y 5 + 1y = 8 + 5y + -5y Combine like terms: 5y + -5y = 0 5 + 1y = 8 + 0 5 + 1y = 8 Add '-5' to each side of the equation. 5 + -5 + 1y = 8 + -5 Combine like terms: 5 + -5 = 0 0 + 1y = 8 + -5 1y = 8 + -5 Combine like terms: 8 + -5 = 3 1y = 3 Divide each side by '1'. y = 3 Simplifying y = 3
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