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Simplifying -8y + 38 = 2(y + -1) Reorder the terms: 38 + -8y = 2(y + -1) Reorder the terms: 38 + -8y = 2(-1 + y) 38 + -8y = (-1 * 2 + y * 2) 38 + -8y = (-2 + 2y) Solving 38 + -8y = -2 + 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 + -8y + -2y = -2 + 2y + -2y Combine like terms: -8y + -2y = -10y 38 + -10y = -2 + 2y + -2y Combine like terms: 2y + -2y = 0 38 + -10y = -2 + 0 38 + -10y = -2 Add '-38' to each side of the equation. 38 + -38 + -10y = -2 + -38 Combine like terms: 38 + -38 = 0 0 + -10y = -2 + -38 -10y = -2 + -38 Combine like terms: -2 + -38 = -40 -10y = -40 Divide each side by '-10'. y = 4 Simplifying y = 4
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