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Simplifying 27 + 7y + -15 = 5(3y + -4) Reorder the terms: 27 + -15 + 7y = 5(3y + -4) Combine like terms: 27 + -15 = 12 12 + 7y = 5(3y + -4) Reorder the terms: 12 + 7y = 5(-4 + 3y) 12 + 7y = (-4 * 5 + 3y * 5) 12 + 7y = (-20 + 15y) Solving 12 + 7y = -20 + 15y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-15y' to each side of the equation. 12 + 7y + -15y = -20 + 15y + -15y Combine like terms: 7y + -15y = -8y 12 + -8y = -20 + 15y + -15y Combine like terms: 15y + -15y = 0 12 + -8y = -20 + 0 12 + -8y = -20 Add '-12' to each side of the equation. 12 + -12 + -8y = -20 + -12 Combine like terms: 12 + -12 = 0 0 + -8y = -20 + -12 -8y = -20 + -12 Combine like terms: -20 + -12 = -32 -8y = -32 Divide each side by '-8'. y = 4 Simplifying y = 4
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