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Simplifying 3y + -4(1 + 3y) = 9 + -5(y + -2) 3y + (1 * -4 + 3y * -4) = 9 + -5(y + -2) 3y + (-4 + -12y) = 9 + -5(y + -2) Reorder the terms: -4 + 3y + -12y = 9 + -5(y + -2) Combine like terms: 3y + -12y = -9y -4 + -9y = 9 + -5(y + -2) Reorder the terms: -4 + -9y = 9 + -5(-2 + y) -4 + -9y = 9 + (-2 * -5 + y * -5) -4 + -9y = 9 + (10 + -5y) Combine like terms: 9 + 10 = 19 -4 + -9y = 19 + -5y Solving -4 + -9y = 19 + -5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5y' to each side of the equation. -4 + -9y + 5y = 19 + -5y + 5y Combine like terms: -9y + 5y = -4y -4 + -4y = 19 + -5y + 5y Combine like terms: -5y + 5y = 0 -4 + -4y = 19 + 0 -4 + -4y = 19 Add '4' to each side of the equation. -4 + 4 + -4y = 19 + 4 Combine like terms: -4 + 4 = 0 0 + -4y = 19 + 4 -4y = 19 + 4 Combine like terms: 19 + 4 = 23 -4y = 23 Divide each side by '-4'. y = -5.75 Simplifying y = -5.75
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