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Simplifying 3y + 19 = 5(y + -2) Reorder the terms: 19 + 3y = 5(y + -2) Reorder the terms: 19 + 3y = 5(-2 + y) 19 + 3y = (-2 * 5 + y * 5) 19 + 3y = (-10 + 5y) Solving 19 + 3y = -10 + 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. 19 + 3y + -5y = -10 + 5y + -5y Combine like terms: 3y + -5y = -2y 19 + -2y = -10 + 5y + -5y Combine like terms: 5y + -5y = 0 19 + -2y = -10 + 0 19 + -2y = -10 Add '-19' to each side of the equation. 19 + -19 + -2y = -10 + -19 Combine like terms: 19 + -19 = 0 0 + -2y = -10 + -19 -2y = -10 + -19 Combine like terms: -10 + -19 = -29 -2y = -29 Divide each side by '-2'. y = 14.5 Simplifying y = 14.5
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