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Simplifying 4y + -3(7y + -2) = -14 + -13y Reorder the terms: 4y + -3(-2 + 7y) = -14 + -13y 4y + (-2 * -3 + 7y * -3) = -14 + -13y 4y + (6 + -21y) = -14 + -13y Reorder the terms: 6 + 4y + -21y = -14 + -13y Combine like terms: 4y + -21y = -17y 6 + -17y = -14 + -13y Solving 6 + -17y = -14 + -13y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '13y' to each side of the equation. 6 + -17y + 13y = -14 + -13y + 13y Combine like terms: -17y + 13y = -4y 6 + -4y = -14 + -13y + 13y Combine like terms: -13y + 13y = 0 6 + -4y = -14 + 0 6 + -4y = -14 Add '-6' to each side of the equation. 6 + -6 + -4y = -14 + -6 Combine like terms: 6 + -6 = 0 0 + -4y = -14 + -6 -4y = -14 + -6 Combine like terms: -14 + -6 = -20 -4y = -20 Divide each side by '-4'. y = 5 Simplifying y = 5
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