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Simplifying -7y + 28 = -3(5y + 4) Reorder the terms: 28 + -7y = -3(5y + 4) Reorder the terms: 28 + -7y = -3(4 + 5y) 28 + -7y = (4 * -3 + 5y * -3) 28 + -7y = (-12 + -15y) Solving 28 + -7y = -12 + -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. 28 + -7y + 15y = -12 + -15y + 15y Combine like terms: -7y + 15y = 8y 28 + 8y = -12 + -15y + 15y Combine like terms: -15y + 15y = 0 28 + 8y = -12 + 0 28 + 8y = -12 Add '-28' to each side of the equation. 28 + -28 + 8y = -12 + -28 Combine like terms: 28 + -28 = 0 0 + 8y = -12 + -28 8y = -12 + -28 Combine like terms: -12 + -28 = -40 8y = -40 Divide each side by '8'. y = -5 Simplifying y = -5
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