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Simplifying -3(y + -4y) + 7 = -2(2y + -1y) + 1 + 10y Combine like terms: y + -4y = -3y -3(-3y) + 7 = -2(2y + -1y) + 1 + 10y Remove parenthesis around (-3y) -3 * -3y + 7 = -2(2y + -1y) + 1 + 10y Multiply -3 * -3 9y + 7 = -2(2y + -1y) + 1 + 10y Reorder the terms: 7 + 9y = -2(2y + -1y) + 1 + 10y Combine like terms: 2y + -1y = 1y 7 + 9y = -2(1y) + 1 + 10y Remove parenthesis around (1y) 7 + 9y = -2 * 1y + 1 + 10y Multiply -2 * 1 7 + 9y = -2y + 1 + 10y Reorder the terms: 7 + 9y = 1 + -2y + 10y Combine like terms: -2y + 10y = 8y 7 + 9y = 1 + 8y Solving 7 + 9y = 1 + 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. 7 + 9y + -8y = 1 + 8y + -8y Combine like terms: 9y + -8y = 1y 7 + 1y = 1 + 8y + -8y Combine like terms: 8y + -8y = 0 7 + 1y = 1 + 0 7 + 1y = 1 Add '-7' to each side of the equation. 7 + -7 + 1y = 1 + -7 Combine like terms: 7 + -7 = 0 0 + 1y = 1 + -7 1y = 1 + -7 Combine like terms: 1 + -7 = -6 1y = -6 Divide each side by '1'. y = -6 Simplifying y = -6
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