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Simplifying 13y + -8(3y + -2) = -7y + -5(12 + -3y) Reorder the terms: 13y + -8(-2 + 3y) = -7y + -5(12 + -3y) 13y + (-2 * -8 + 3y * -8) = -7y + -5(12 + -3y) 13y + (16 + -24y) = -7y + -5(12 + -3y) Reorder the terms: 16 + 13y + -24y = -7y + -5(12 + -3y) Combine like terms: 13y + -24y = -11y 16 + -11y = -7y + -5(12 + -3y) 16 + -11y = -7y + (12 * -5 + -3y * -5) 16 + -11y = -7y + (-60 + 15y) Reorder the terms: 16 + -11y = -60 + -7y + 15y Combine like terms: -7y + 15y = 8y 16 + -11y = -60 + 8y Solving 16 + -11y = -60 + 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. 16 + -11y + -8y = -60 + 8y + -8y Combine like terms: -11y + -8y = -19y 16 + -19y = -60 + 8y + -8y Combine like terms: 8y + -8y = 0 16 + -19y = -60 + 0 16 + -19y = -60 Add '-16' to each side of the equation. 16 + -16 + -19y = -60 + -16 Combine like terms: 16 + -16 = 0 0 + -19y = -60 + -16 -19y = -60 + -16 Combine like terms: -60 + -16 = -76 -19y = -76 Divide each side by '-19'. y = 4 Simplifying y = 4
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