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Simplifying 14(y + -6) + 4y = 10y + -3(40) Reorder the terms: 14(-6 + y) + 4y = 10y + -3(40) (-6 * 14 + y * 14) + 4y = 10y + -3(40) (-84 + 14y) + 4y = 10y + -3(40) Combine like terms: 14y + 4y = 18y -84 + 18y = 10y + -3(40) Multiply -3 * 40 -84 + 18y = 10y + -120 Reorder the terms: -84 + 18y = -120 + 10y Solving -84 + 18y = -120 + 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. -84 + 18y + -10y = -120 + 10y + -10y Combine like terms: 18y + -10y = 8y -84 + 8y = -120 + 10y + -10y Combine like terms: 10y + -10y = 0 -84 + 8y = -120 + 0 -84 + 8y = -120 Add '84' to each side of the equation. -84 + 84 + 8y = -120 + 84 Combine like terms: -84 + 84 = 0 0 + 8y = -120 + 84 8y = -120 + 84 Combine like terms: -120 + 84 = -36 8y = -36 Divide each side by '8'. y = -4.5 Simplifying y = -4.5
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