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Simplifying -2(y + -3y) + 5 = -3(6y + -1y) + 8 + 18y Combine like terms: y + -3y = -2y -2(-2y) + 5 = -3(6y + -1y) + 8 + 18y Remove parenthesis around (-2y) -2 * -2y + 5 = -3(6y + -1y) + 8 + 18y Multiply -2 * -2 4y + 5 = -3(6y + -1y) + 8 + 18y Reorder the terms: 5 + 4y = -3(6y + -1y) + 8 + 18y Combine like terms: 6y + -1y = 5y 5 + 4y = -3(5y) + 8 + 18y Remove parenthesis around (5y) 5 + 4y = -3 * 5y + 8 + 18y Multiply -3 * 5 5 + 4y = -15y + 8 + 18y Reorder the terms: 5 + 4y = 8 + -15y + 18y Combine like terms: -15y + 18y = 3y 5 + 4y = 8 + 3y Solving 5 + 4y = 8 + 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. 5 + 4y + -3y = 8 + 3y + -3y Combine like terms: 4y + -3y = 1y 5 + 1y = 8 + 3y + -3y Combine like terms: 3y + -3y = 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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