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Simplifying 5y + -7 + 2(5y + 3) = -3(y + 3) Reorder the terms: 5y + -7 + 2(3 + 5y) = -3(y + 3) 5y + -7 + (3 * 2 + 5y * 2) = -3(y + 3) 5y + -7 + (6 + 10y) = -3(y + 3) Reorder the terms: -7 + 6 + 5y + 10y = -3(y + 3) Combine like terms: -7 + 6 = -1 -1 + 5y + 10y = -3(y + 3) Combine like terms: 5y + 10y = 15y -1 + 15y = -3(y + 3) Reorder the terms: -1 + 15y = -3(3 + y) -1 + 15y = (3 * -3 + y * -3) -1 + 15y = (-9 + -3y) Solving -1 + 15y = -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. -1 + 15y + 3y = -9 + -3y + 3y Combine like terms: 15y + 3y = 18y -1 + 18y = -9 + -3y + 3y Combine like terms: -3y + 3y = 0 -1 + 18y = -9 + 0 -1 + 18y = -9 Add '1' to each side of the equation. -1 + 1 + 18y = -9 + 1 Combine like terms: -1 + 1 = 0 0 + 18y = -9 + 1 18y = -9 + 1 Combine like terms: -9 + 1 = -8 18y = -8 Divide each side by '18'. y = -0.4444444444 Simplifying y = -0.4444444444
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