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Simplifying -7(y + 4) = 5y + -2y + -3 Reorder the terms: -7(4 + y) = 5y + -2y + -3 (4 * -7 + y * -7) = 5y + -2y + -3 (-28 + -7y) = 5y + -2y + -3 Reorder the terms: -28 + -7y = -3 + 5y + -2y Combine like terms: 5y + -2y = 3y -28 + -7y = -3 + 3y Solving -28 + -7y = -3 + 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. -28 + -7y + -3y = -3 + 3y + -3y Combine like terms: -7y + -3y = -10y -28 + -10y = -3 + 3y + -3y Combine like terms: 3y + -3y = 0 -28 + -10y = -3 + 0 -28 + -10y = -3 Add '28' to each side of the equation. -28 + 28 + -10y = -3 + 28 Combine like terms: -28 + 28 = 0 0 + -10y = -3 + 28 -10y = -3 + 28 Combine like terms: -3 + 28 = 25 -10y = 25 Divide each side by '-10'. y = -2.5 Simplifying y = -2.5
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