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Simplifying -5(y + -2y) + 2 = -6(3y + -1y) + 6 + 16y Combine like terms: y + -2y = -1y -5(-1y) + 2 = -6(3y + -1y) + 6 + 16y Remove parenthesis around (-1y) -5 * -1y + 2 = -6(3y + -1y) + 6 + 16y Multiply -5 * -1 5y + 2 = -6(3y + -1y) + 6 + 16y Reorder the terms: 2 + 5y = -6(3y + -1y) + 6 + 16y Combine like terms: 3y + -1y = 2y 2 + 5y = -6(2y) + 6 + 16y Remove parenthesis around (2y) 2 + 5y = -6 * 2y + 6 + 16y Multiply -6 * 2 2 + 5y = -12y + 6 + 16y Reorder the terms: 2 + 5y = 6 + -12y + 16y Combine like terms: -12y + 16y = 4y 2 + 5y = 6 + 4y Solving 2 + 5y = 6 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 2 + 5y + -4y = 6 + 4y + -4y Combine like terms: 5y + -4y = 1y 2 + 1y = 6 + 4y + -4y Combine like terms: 4y + -4y = 0 2 + 1y = 6 + 0 2 + 1y = 6 Add '-2' to each side of the equation. 2 + -2 + 1y = 6 + -2 Combine like terms: 2 + -2 = 0 0 + 1y = 6 + -2 1y = 6 + -2 Combine like terms: 6 + -2 = 4 1y = 4 Divide each side by '1'. y = 4 Simplifying y = 4
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