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Simplifying -5(y + -4y) + 7 = -2(2y + -1y) + 2 + 16y Combine like terms: y + -4y = -3y -5(-3y) + 7 = -2(2y + -1y) + 2 + 16y Remove parenthesis around (-3y) -5 * -3y + 7 = -2(2y + -1y) + 2 + 16y Multiply -5 * -3 15y + 7 = -2(2y + -1y) + 2 + 16y Reorder the terms: 7 + 15y = -2(2y + -1y) + 2 + 16y Combine like terms: 2y + -1y = 1y 7 + 15y = -2(1y) + 2 + 16y Remove parenthesis around (1y) 7 + 15y = -2 * 1y + 2 + 16y Multiply -2 * 1 7 + 15y = -2y + 2 + 16y Reorder the terms: 7 + 15y = 2 + -2y + 16y Combine like terms: -2y + 16y = 14y 7 + 15y = 2 + 14y Solving 7 + 15y = 2 + 14y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-14y' to each side of the equation. 7 + 15y + -14y = 2 + 14y + -14y Combine like terms: 15y + -14y = 1y 7 + 1y = 2 + 14y + -14y Combine like terms: 14y + -14y = 0 7 + 1y = 2 + 0 7 + 1y = 2 Add '-7' to each side of the equation. 7 + -7 + 1y = 2 + -7 Combine like terms: 7 + -7 = 0 0 + 1y = 2 + -7 1y = 2 + -7 Combine like terms: 2 + -7 = -5 1y = -5 Divide each side by '1'. y = -5 Simplifying y = -5
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