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Simplifying -79 + 14y + 5 = 6(4y + -2) + -2 Reorder the terms: -79 + 5 + 14y = 6(4y + -2) + -2 Combine like terms: -79 + 5 = -74 -74 + 14y = 6(4y + -2) + -2 Reorder the terms: -74 + 14y = 6(-2 + 4y) + -2 -74 + 14y = (-2 * 6 + 4y * 6) + -2 -74 + 14y = (-12 + 24y) + -2 Reorder the terms: -74 + 14y = -12 + -2 + 24y Combine like terms: -12 + -2 = -14 -74 + 14y = -14 + 24y Solving -74 + 14y = -14 + 24y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-24y' to each side of the equation. -74 + 14y + -24y = -14 + 24y + -24y Combine like terms: 14y + -24y = -10y -74 + -10y = -14 + 24y + -24y Combine like terms: 24y + -24y = 0 -74 + -10y = -14 + 0 -74 + -10y = -14 Add '74' to each side of the equation. -74 + 74 + -10y = -14 + 74 Combine like terms: -74 + 74 = 0 0 + -10y = -14 + 74 -10y = -14 + 74 Combine like terms: -14 + 74 = 60 -10y = 60 Divide each side by '-10'. y = -6 Simplifying y = -6
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