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Simplifying 3y + 1 = -4(y + -9) Reorder the terms: 1 + 3y = -4(y + -9) Reorder the terms: 1 + 3y = -4(-9 + y) 1 + 3y = (-9 * -4 + y * -4) 1 + 3y = (36 + -4y) Solving 1 + 3y = 36 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. 1 + 3y + 4y = 36 + -4y + 4y Combine like terms: 3y + 4y = 7y 1 + 7y = 36 + -4y + 4y Combine like terms: -4y + 4y = 0 1 + 7y = 36 + 0 1 + 7y = 36 Add '-1' to each side of the equation. 1 + -1 + 7y = 36 + -1 Combine like terms: 1 + -1 = 0 0 + 7y = 36 + -1 7y = 36 + -1 Combine like terms: 36 + -1 = 35 7y = 35 Divide each side by '7'. y = 5 Simplifying y = 5
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