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Simplifying 10 + -2(y + 3) = y + 19 Reorder the terms: 10 + -2(3 + y) = y + 19 10 + (3 * -2 + y * -2) = y + 19 10 + (-6 + -2y) = y + 19 Combine like terms: 10 + -6 = 4 4 + -2y = y + 19 Reorder the terms: 4 + -2y = 19 + y Solving 4 + -2y = 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. 4 + -2y + -1y = 19 + y + -1y Combine like terms: -2y + -1y = -3y 4 + -3y = 19 + y + -1y Combine like terms: y + -1y = 0 4 + -3y = 19 + 0 4 + -3y = 19 Add '-4' to each side of the equation. 4 + -4 + -3y = 19 + -4 Combine like terms: 4 + -4 = 0 0 + -3y = 19 + -4 -3y = 19 + -4 Combine like terms: 19 + -4 = 15 -3y = 15 Divide each side by '-3'. y = -5 Simplifying y = -5
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