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Simplifying 3y + -4(y + -3) = 3 + -9(y + -2) Reorder the terms: 3y + -4(-3 + y) = 3 + -9(y + -2) 3y + (-3 * -4 + y * -4) = 3 + -9(y + -2) 3y + (12 + -4y) = 3 + -9(y + -2) Reorder the terms: 12 + 3y + -4y = 3 + -9(y + -2) Combine like terms: 3y + -4y = -1y 12 + -1y = 3 + -9(y + -2) Reorder the terms: 12 + -1y = 3 + -9(-2 + y) 12 + -1y = 3 + (-2 * -9 + y * -9) 12 + -1y = 3 + (18 + -9y) Combine like terms: 3 + 18 = 21 12 + -1y = 21 + -9y Solving 12 + -1y = 21 + -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. 12 + -1y + 9y = 21 + -9y + 9y Combine like terms: -1y + 9y = 8y 12 + 8y = 21 + -9y + 9y Combine like terms: -9y + 9y = 0 12 + 8y = 21 + 0 12 + 8y = 21 Add '-12' to each side of the equation. 12 + -12 + 8y = 21 + -12 Combine like terms: 12 + -12 = 0 0 + 8y = 21 + -12 8y = 21 + -12 Combine like terms: 21 + -12 = 9 8y = 9 Divide each side by '8'. y = 1.125 Simplifying y = 1.125
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