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Simplifying -3(y + -4y) + 6 = -2(2y + -1y) + 5 + 10y Combine like terms: y + -4y = -3y -3(-3y) + 6 = -2(2y + -1y) + 5 + 10y Remove parenthesis around (-3y) -3 * -3y + 6 = -2(2y + -1y) + 5 + 10y Multiply -3 * -3 9y + 6 = -2(2y + -1y) + 5 + 10y Reorder the terms: 6 + 9y = -2(2y + -1y) + 5 + 10y Combine like terms: 2y + -1y = 1y 6 + 9y = -2(1y) + 5 + 10y Remove parenthesis around (1y) 6 + 9y = -2 * 1y + 5 + 10y Multiply -2 * 1 6 + 9y = -2y + 5 + 10y Reorder the terms: 6 + 9y = 5 + -2y + 10y Combine like terms: -2y + 10y = 8y 6 + 9y = 5 + 8y Solving 6 + 9y = 5 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. 6 + 9y + -8y = 5 + 8y + -8y Combine like terms: 9y + -8y = 1y 6 + 1y = 5 + 8y + -8y Combine like terms: 8y + -8y = 0 6 + 1y = 5 + 0 6 + 1y = 5 Add '-6' to each side of the equation. 6 + -6 + 1y = 5 + -6 Combine like terms: 6 + -6 = 0 0 + 1y = 5 + -6 1y = 5 + -6 Combine like terms: 5 + -6 = -1 1y = -1 Divide each side by '1'. y = -1 Simplifying y = -1
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