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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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