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Simplifying -3(y + -3y) + 7 = -5(3y + -1y) + 6 + 15y Combine like terms: y + -3y = -2y -3(-2y) + 7 = -5(3y + -1y) + 6 + 15y Remove parenthesis around (-2y) -3 * -2y + 7 = -5(3y + -1y) + 6 + 15y Multiply -3 * -2 6y + 7 = -5(3y + -1y) + 6 + 15y Reorder the terms: 7 + 6y = -5(3y + -1y) + 6 + 15y Combine like terms: 3y + -1y = 2y 7 + 6y = -5(2y) + 6 + 15y Remove parenthesis around (2y) 7 + 6y = -5 * 2y + 6 + 15y Multiply -5 * 2 7 + 6y = -10y + 6 + 15y Reorder the terms: 7 + 6y = 6 + -10y + 15y Combine like terms: -10y + 15y = 5y 7 + 6y = 6 + 5y Solving 7 + 6y = 6 + 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. 7 + 6y + -5y = 6 + 5y + -5y Combine like terms: 6y + -5y = 1y 7 + 1y = 6 + 5y + -5y Combine like terms: 5y + -5y = 0 7 + 1y = 6 + 0 7 + 1y = 6 Add '-7' to each side of the equation. 7 + -7 + 1y = 6 + -7 Combine like terms: 7 + -7 = 0 0 + 1y = 6 + -7 1y = 6 + -7 Combine like terms: 6 + -7 = -1 1y = -1 Divide each side by '1'. y = -1 Simplifying y = -1
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