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Simplifying 3y + 19 = -4(y + 4) Reorder the terms: 19 + 3y = -4(y + 4) Reorder the terms: 19 + 3y = -4(4 + y) 19 + 3y = (4 * -4 + y * -4) 19 + 3y = (-16 + -4y) Solving 19 + 3y = -16 + -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. 19 + 3y + 4y = -16 + -4y + 4y Combine like terms: 3y + 4y = 7y 19 + 7y = -16 + -4y + 4y Combine like terms: -4y + 4y = 0 19 + 7y = -16 + 0 19 + 7y = -16 Add '-19' to each side of the equation. 19 + -19 + 7y = -16 + -19 Combine like terms: 19 + -19 = 0 0 + 7y = -16 + -19 7y = -16 + -19 Combine like terms: -16 + -19 = -35 7y = -35 Divide each side by '7'. y = -5 Simplifying y = -5
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