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Simplifying 14 + -5(y + 10) = 4 + -8(y + 5) Reorder the terms: 14 + -5(10 + y) = 4 + -8(y + 5) 14 + (10 * -5 + y * -5) = 4 + -8(y + 5) 14 + (-50 + -5y) = 4 + -8(y + 5) Combine like terms: 14 + -50 = -36 -36 + -5y = 4 + -8(y + 5) Reorder the terms: -36 + -5y = 4 + -8(5 + y) -36 + -5y = 4 + (5 * -8 + y * -8) -36 + -5y = 4 + (-40 + -8y) Combine like terms: 4 + -40 = -36 -36 + -5y = -36 + -8y Add '36' to each side of the equation. -36 + 36 + -5y = -36 + 36 + -8y Combine like terms: -36 + 36 = 0 0 + -5y = -36 + 36 + -8y -5y = -36 + 36 + -8y Combine like terms: -36 + 36 = 0 -5y = 0 + -8y -5y = -8y Solving -5y = -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. -5y + 8y = -8y + 8y Combine like terms: -5y + 8y = 3y 3y = -8y + 8y Combine like terms: -8y + 8y = 0 3y = 0 Divide each side by '3'. y = 0 Simplifying y = 0
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