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Simplifying 5y + -1 + 2(5y + 2) = -3(y + 4) Reorder the terms: 5y + -1 + 2(2 + 5y) = -3(y + 4) 5y + -1 + (2 * 2 + 5y * 2) = -3(y + 4) 5y + -1 + (4 + 10y) = -3(y + 4) Reorder the terms: -1 + 4 + 5y + 10y = -3(y + 4) Combine like terms: -1 + 4 = 3 3 + 5y + 10y = -3(y + 4) Combine like terms: 5y + 10y = 15y 3 + 15y = -3(y + 4) Reorder the terms: 3 + 15y = -3(4 + y) 3 + 15y = (4 * -3 + y * -3) 3 + 15y = (-12 + -3y) Solving 3 + 15y = -12 + -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. 3 + 15y + 3y = -12 + -3y + 3y Combine like terms: 15y + 3y = 18y 3 + 18y = -12 + -3y + 3y Combine like terms: -3y + 3y = 0 3 + 18y = -12 + 0 3 + 18y = -12 Add '-3' to each side of the equation. 3 + -3 + 18y = -12 + -3 Combine like terms: 3 + -3 = 0 0 + 18y = -12 + -3 18y = -12 + -3 Combine like terms: -12 + -3 = -15 18y = -15 Divide each side by '18'. y = -0.8333333333 Simplifying y = -0.8333333333
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