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Simplifying -8y + -38 = -3(y + 6) Reorder the terms: -38 + -8y = -3(y + 6) Reorder the terms: -38 + -8y = -3(6 + y) -38 + -8y = (6 * -3 + y * -3) -38 + -8y = (-18 + -3y) Solving -38 + -8y = -18 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. -38 + -8y + 3y = -18 + -3y + 3y Combine like terms: -8y + 3y = -5y -38 + -5y = -18 + -3y + 3y Combine like terms: -3y + 3y = 0 -38 + -5y = -18 + 0 -38 + -5y = -18 Add '38' to each side of the equation. -38 + 38 + -5y = -18 + 38 Combine like terms: -38 + 38 = 0 0 + -5y = -18 + 38 -5y = -18 + 38 Combine like terms: -18 + 38 = 20 -5y = 20 Divide each side by '-5'. y = -4 Simplifying y = -4
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