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Simplifying 5y + 36 = -3(y + 4) Reorder the terms: 36 + 5y = -3(y + 4) Reorder the terms: 36 + 5y = -3(4 + y) 36 + 5y = (4 * -3 + y * -3) 36 + 5y = (-12 + -3y) Solving 36 + 5y = -12 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. 36 + 5y + 3y = -12 + -3y + 3y Combine like terms: 5y + 3y = 8y 36 + 8y = -12 + -3y + 3y Combine like terms: -3y + 3y = 0 36 + 8y = -12 + 0 36 + 8y = -12 Add '-36' to each side of the equation. 36 + -36 + 8y = -12 + -36 Combine like terms: 36 + -36 = 0 0 + 8y = -12 + -36 8y = -12 + -36 Combine like terms: -12 + -36 = -48 8y = -48 Divide each side by '8'. y = -6 Simplifying y = -6
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