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Simplifying -4y + -38 = -7(y + 8) Reorder the terms: -38 + -4y = -7(y + 8) Reorder the terms: -38 + -4y = -7(8 + y) -38 + -4y = (8 * -7 + y * -7) -38 + -4y = (-56 + -7y) Solving -38 + -4y = -56 + -7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7y' to each side of the equation. -38 + -4y + 7y = -56 + -7y + 7y Combine like terms: -4y + 7y = 3y -38 + 3y = -56 + -7y + 7y Combine like terms: -7y + 7y = 0 -38 + 3y = -56 + 0 -38 + 3y = -56 Add '38' to each side of the equation. -38 + 38 + 3y = -56 + 38 Combine like terms: -38 + 38 = 0 0 + 3y = -56 + 38 3y = -56 + 38 Combine like terms: -56 + 38 = -18 3y = -18 Divide each side by '3'. y = -6 Simplifying y = -6
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