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Simplifying 38 = 3y + 7(y + -6) Reorder the terms: 38 = 3y + 7(-6 + y) 38 = 3y + (-6 * 7 + y * 7) 38 = 3y + (-42 + 7y) Reorder the terms: 38 = -42 + 3y + 7y Combine like terms: 3y + 7y = 10y 38 = -42 + 10y Solving 38 = -42 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. 38 + -10y = -42 + 10y + -10y Combine like terms: 10y + -10y = 0 38 + -10y = -42 + 0 38 + -10y = -42 Add '-38' to each side of the equation. 38 + -38 + -10y = -42 + -38 Combine like terms: 38 + -38 = 0 0 + -10y = -42 + -38 -10y = -42 + -38 Combine like terms: -42 + -38 = -80 -10y = -80 Divide each side by '-10'. y = 8 Simplifying y = 8
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