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Simplifying -2y + 38 = 8(y + 1) Reorder the terms: 38 + -2y = 8(y + 1) Reorder the terms: 38 + -2y = 8(1 + y) 38 + -2y = (1 * 8 + y * 8) 38 + -2y = (8 + 8y) Solving 38 + -2y = 8 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. 38 + -2y + -8y = 8 + 8y + -8y Combine like terms: -2y + -8y = -10y 38 + -10y = 8 + 8y + -8y Combine like terms: 8y + -8y = 0 38 + -10y = 8 + 0 38 + -10y = 8 Add '-38' to each side of the equation. 38 + -38 + -10y = 8 + -38 Combine like terms: 38 + -38 = 0 0 + -10y = 8 + -38 -10y = 8 + -38 Combine like terms: 8 + -38 = -30 -10y = -30 Divide each side by '-10'. y = 3 Simplifying y = 3
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