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Simplifying 5y + -1(-3y + -3) + -1(-2y + -12 + -1(y + (3y + -11) + 31) + 48) = 9y + 3 Reorder the terms: 5y + -1(-3 + -3y) + -1(-2y + -12 + -1(y + (3y + -11) + 31) + 48) = 9y + 3 5y + (-3 * -1 + -3y * -1) + -1(-2y + -12 + -1(y + (3y + -11) + 31) + 48) = 9y + 3 5y + (3 + 3y) + -1(-2y + -12 + -1(y + (3y + -11) + 31) + 48) = 9y + 3 Reorder the terms: 5y + 3 + 3y + -1(-2y + -12 + -1(y + (-11 + 3y) + 31) + 48) = 9y + 3 Remove parenthesis around (-11 + 3y) 5y + 3 + 3y + -1(-2y + -12 + -1(y + -11 + 3y + 31) + 48) = 9y + 3 Reorder the terms: 5y + 3 + 3y + -1(-2y + -12 + -1(-11 + 31 + y + 3y) + 48) = 9y + 3 Combine like terms: -11 + 31 = 20 5y + 3 + 3y + -1(-2y + -12 + -1(20 + y + 3y) + 48) = 9y + 3 Combine like terms: y + 3y = 4y 5y + 3 + 3y + -1(-2y + -12 + -1(20 + 4y) + 48) = 9y + 3 5y + 3 + 3y + -1(-2y + -12 + (20 * -1 + 4y * -1) + 48) = 9y + 3 5y + 3 + 3y + -1(-2y + -12 + (-20 + -4y) + 48) = 9y + 3 Reorder the terms: 5y + 3 + 3y + -1(-12 + -20 + 48 + -2y + -4y) = 9y + 3 Combine like terms: -12 + -20 = -32 5y + 3 + 3y + -1(-32 + 48 + -2y + -4y) = 9y + 3 Combine like terms: -32 + 48 = 16 5y + 3 + 3y + -1(16 + -2y + -4y) = 9y + 3 Combine like terms: -2y + -4y = -6y 5y + 3 + 3y + -1(16 + -6y) = 9y + 3 5y + 3 + 3y + (16 * -1 + -6y * -1) = 9y + 3 5y + 3 + 3y + (-16 + 6y) = 9y + 3 Reorder the terms: 3 + -16 + 5y + 3y + 6y = 9y + 3 Combine like terms: 3 + -16 = -13 -13 + 5y + 3y + 6y = 9y + 3 Combine like terms: 5y + 3y = 8y -13 + 8y + 6y = 9y + 3 Combine like terms: 8y + 6y = 14y -13 + 14y = 9y + 3 Reorder the terms: -13 + 14y = 3 + 9y Solving -13 + 14y = 3 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. -13 + 14y + -9y = 3 + 9y + -9y Combine like terms: 14y + -9y = 5y -13 + 5y = 3 + 9y + -9y Combine like terms: 9y + -9y = 0 -13 + 5y = 3 + 0 -13 + 5y = 3 Add '13' to each side of the equation. -13 + 13 + 5y = 3 + 13 Combine like terms: -13 + 13 = 0 0 + 5y = 3 + 13 5y = 3 + 13 Combine like terms: 3 + 13 = 16 5y = 16 Divide each side by '5'. y = 3.2 Simplifying y = 3.2
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