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Simplifying -6y + 38 = 8(y + -4) Reorder the terms: 38 + -6y = 8(y + -4) Reorder the terms: 38 + -6y = 8(-4 + y) 38 + -6y = (-4 * 8 + y * 8) 38 + -6y = (-32 + 8y) Solving 38 + -6y = -32 + 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 + -6y + -8y = -32 + 8y + -8y Combine like terms: -6y + -8y = -14y 38 + -14y = -32 + 8y + -8y Combine like terms: 8y + -8y = 0 38 + -14y = -32 + 0 38 + -14y = -32 Add '-38' to each side of the equation. 38 + -38 + -14y = -32 + -38 Combine like terms: 38 + -38 = 0 0 + -14y = -32 + -38 -14y = -32 + -38 Combine like terms: -32 + -38 = -70 -14y = -70 Divide each side by '-14'. y = 5 Simplifying y = 5
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