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Simplifying -2(y + 1) = 3y + 19 + -2y Reorder the terms: -2(1 + y) = 3y + 19 + -2y (1 * -2 + y * -2) = 3y + 19 + -2y (-2 + -2y) = 3y + 19 + -2y Reorder the terms: -2 + -2y = 19 + 3y + -2y Combine like terms: 3y + -2y = 1y -2 + -2y = 19 + 1y Solving -2 + -2y = 19 + 1y 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. -2 + -2y + -1y = 19 + 1y + -1y Combine like terms: -2y + -1y = -3y -2 + -3y = 19 + 1y + -1y Combine like terms: 1y + -1y = 0 -2 + -3y = 19 + 0 -2 + -3y = 19 Add '2' to each side of the equation. -2 + 2 + -3y = 19 + 2 Combine like terms: -2 + 2 = 0 0 + -3y = 19 + 2 -3y = 19 + 2 Combine like terms: 19 + 2 = 21 -3y = 21 Divide each side by '-3'. y = -7 Simplifying y = -7
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