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Simplifying -4(y + -7) = 2y + -38 Reorder the terms: -4(-7 + y) = 2y + -38 (-7 * -4 + y * -4) = 2y + -38 (28 + -4y) = 2y + -38 Reorder the terms: 28 + -4y = -38 + 2y Solving 28 + -4y = -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. 28 + -4y + -2y = -38 + 2y + -2y Combine like terms: -4y + -2y = -6y 28 + -6y = -38 + 2y + -2y Combine like terms: 2y + -2y = 0 28 + -6y = -38 + 0 28 + -6y = -38 Add '-28' to each side of the equation. 28 + -28 + -6y = -38 + -28 Combine like terms: 28 + -28 = 0 0 + -6y = -38 + -28 -6y = -38 + -28 Combine like terms: -38 + -28 = -66 -6y = -66 Divide each side by '-6'. y = 11 Simplifying y = 11
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