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Simplifying 5 + -1y = 4 + -5(3 + y) 5 + -1y = 4 + (3 * -5 + y * -5) 5 + -1y = 4 + (-15 + -5y) Combine like terms: 4 + -15 = -11 5 + -1y = -11 + -5y Solving 5 + -1y = -11 + -5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5y' to each side of the equation. 5 + -1y + 5y = -11 + -5y + 5y Combine like terms: -1y + 5y = 4y 5 + 4y = -11 + -5y + 5y Combine like terms: -5y + 5y = 0 5 + 4y = -11 + 0 5 + 4y = -11 Add '-5' to each side of the equation. 5 + -5 + 4y = -11 + -5 Combine like terms: 5 + -5 = 0 0 + 4y = -11 + -5 4y = -11 + -5 Combine like terms: -11 + -5 = -16 4y = -16 Divide each side by '4'. y = -4 Simplifying y = -4
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