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Simplifying 2(5y + -2) + 12 = 5(y + -1) + -1(2y + 4) Reorder the terms: 2(-2 + 5y) + 12 = 5(y + -1) + -1(2y + 4) (-2 * 2 + 5y * 2) + 12 = 5(y + -1) + -1(2y + 4) (-4 + 10y) + 12 = 5(y + -1) + -1(2y + 4) Reorder the terms: -4 + 12 + 10y = 5(y + -1) + -1(2y + 4) Combine like terms: -4 + 12 = 8 8 + 10y = 5(y + -1) + -1(2y + 4) Reorder the terms: 8 + 10y = 5(-1 + y) + -1(2y + 4) 8 + 10y = (-1 * 5 + y * 5) + -1(2y + 4) 8 + 10y = (-5 + 5y) + -1(2y + 4) Reorder the terms: 8 + 10y = -5 + 5y + -1(4 + 2y) 8 + 10y = -5 + 5y + (4 * -1 + 2y * -1) 8 + 10y = -5 + 5y + (-4 + -2y) Reorder the terms: 8 + 10y = -5 + -4 + 5y + -2y Combine like terms: -5 + -4 = -9 8 + 10y = -9 + 5y + -2y Combine like terms: 5y + -2y = 3y 8 + 10y = -9 + 3y Solving 8 + 10y = -9 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 8 + 10y + -3y = -9 + 3y + -3y Combine like terms: 10y + -3y = 7y 8 + 7y = -9 + 3y + -3y Combine like terms: 3y + -3y = 0 8 + 7y = -9 + 0 8 + 7y = -9 Add '-8' to each side of the equation. 8 + -8 + 7y = -9 + -8 Combine like terms: 8 + -8 = 0 0 + 7y = -9 + -8 7y = -9 + -8 Combine like terms: -9 + -8 = -17 7y = -17 Divide each side by '7'. y = -2.428571429 Simplifying y = -2.428571429
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