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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 = 2y -28 + 2y = -38 + 2y + -2y Combine like terms: 2y + -2y = 0 -28 + 2y = -38 + 0 -28 + 2y = -38 Add '28' to each side of the equation. -28 + 28 + 2y = -38 + 28 Combine like terms: -28 + 28 = 0 0 + 2y = -38 + 28 2y = -38 + 28 Combine like terms: -38 + 28 = -10 2y = -10 Divide each side by '2'. y = -5 Simplifying y = -5
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