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Simplifying 5(y + -7) = 2y + -38 Reorder the terms: 5(-7 + y) = 2y + -38 (-7 * 5 + y * 5) = 2y + -38 (-35 + 5y) = 2y + -38 Reorder the terms: -35 + 5y = -38 + 2y Solving -35 + 5y = -38 + 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. -35 + 5y + -2y = -38 + 2y + -2y Combine like terms: 5y + -2y = 3y -35 + 3y = -38 + 2y + -2y Combine like terms: 2y + -2y = 0 -35 + 3y = -38 + 0 -35 + 3y = -38 Add '35' to each side of the equation. -35 + 35 + 3y = -38 + 35 Combine like terms: -35 + 35 = 0 0 + 3y = -38 + 35 3y = -38 + 35 Combine like terms: -38 + 35 = -3 3y = -3 Divide each side by '3'. y = -1 Simplifying y = -1
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