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Simplifying 19 + -1(2y + 3) = 2(y + 3) + y Reorder the terms: 19 + -1(3 + 2y) = 2(y + 3) + y 19 + (3 * -1 + 2y * -1) = 2(y + 3) + y 19 + (-3 + -2y) = 2(y + 3) + y Combine like terms: 19 + -3 = 16 16 + -2y = 2(y + 3) + y Reorder the terms: 16 + -2y = 2(3 + y) + y 16 + -2y = (3 * 2 + y * 2) + y 16 + -2y = (6 + 2y) + y Combine like terms: 2y + y = 3y 16 + -2y = 6 + 3y Solving 16 + -2y = 6 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 16 + -2y + -3y = 6 + 3y + -3y Combine like terms: -2y + -3y = -5y 16 + -5y = 6 + 3y + -3y Combine like terms: 3y + -3y = 0 16 + -5y = 6 + 0 16 + -5y = 6 Add '-16' to each side of the equation. 16 + -16 + -5y = 6 + -16 Combine like terms: 16 + -16 = 0 0 + -5y = 6 + -16 -5y = 6 + -16 Combine like terms: 6 + -16 = -10 -5y = -10 Divide each side by '-5'. y = 2 Simplifying y = 2
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