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Simplifying 3y + 19 = -2(y + -2) Reorder the terms: 19 + 3y = -2(y + -2) Reorder the terms: 19 + 3y = -2(-2 + y) 19 + 3y = (-2 * -2 + y * -2) 19 + 3y = (4 + -2y) Solving 19 + 3y = 4 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. 19 + 3y + 2y = 4 + -2y + 2y Combine like terms: 3y + 2y = 5y 19 + 5y = 4 + -2y + 2y Combine like terms: -2y + 2y = 0 19 + 5y = 4 + 0 19 + 5y = 4 Add '-19' to each side of the equation. 19 + -19 + 5y = 4 + -19 Combine like terms: 19 + -19 = 0 0 + 5y = 4 + -19 5y = 4 + -19 Combine like terms: 4 + -19 = -15 5y = -15 Divide each side by '5'. y = -3 Simplifying y = -3
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