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Simplifying 2 + -1(y + 3) + 6y + 4 = y + 19 Reorder the terms: 2 + -1(3 + y) + 6y + 4 = y + 19 2 + (3 * -1 + y * -1) + 6y + 4 = y + 19 2 + (-3 + -1y) + 6y + 4 = y + 19 Reorder the terms: 2 + -3 + 4 + -1y + 6y = y + 19 Combine like terms: 2 + -3 = -1 -1 + 4 + -1y + 6y = y + 19 Combine like terms: -1 + 4 = 3 3 + -1y + 6y = y + 19 Combine like terms: -1y + 6y = 5y 3 + 5y = y + 19 Reorder the terms: 3 + 5y = 19 + y Solving 3 + 5y = 19 + y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. 3 + 5y + -1y = 19 + y + -1y Combine like terms: 5y + -1y = 4y 3 + 4y = 19 + y + -1y Combine like terms: y + -1y = 0 3 + 4y = 19 + 0 3 + 4y = 19 Add '-3' to each side of the equation. 3 + -3 + 4y = 19 + -3 Combine like terms: 3 + -3 = 0 0 + 4y = 19 + -3 4y = 19 + -3 Combine like terms: 19 + -3 = 16 4y = 16 Divide each side by '4'. y = 4 Simplifying y = 4
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