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Simplifying -5y + -38 = -2(y + 7) Reorder the terms: -38 + -5y = -2(y + 7) Reorder the terms: -38 + -5y = -2(7 + y) -38 + -5y = (7 * -2 + y * -2) -38 + -5y = (-14 + -2y) Solving -38 + -5y = -14 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. -38 + -5y + 2y = -14 + -2y + 2y Combine like terms: -5y + 2y = -3y -38 + -3y = -14 + -2y + 2y Combine like terms: -2y + 2y = 0 -38 + -3y = -14 + 0 -38 + -3y = -14 Add '38' to each side of the equation. -38 + 38 + -3y = -14 + 38 Combine like terms: -38 + 38 = 0 0 + -3y = -14 + 38 -3y = -14 + 38 Combine like terms: -14 + 38 = 24 -3y = 24 Divide each side by '-3'. y = -8 Simplifying y = -8
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