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Simplifying -7(y + 4) = 4 + -1(-3y + -7) Reorder the terms: -7(4 + y) = 4 + -1(-3y + -7) (4 * -7 + y * -7) = 4 + -1(-3y + -7) (-28 + -7y) = 4 + -1(-3y + -7) Reorder the terms: -28 + -7y = 4 + -1(-7 + -3y) -28 + -7y = 4 + (-7 * -1 + -3y * -1) -28 + -7y = 4 + (7 + 3y) Combine like terms: 4 + 7 = 11 -28 + -7y = 11 + 3y Solving -28 + -7y = 11 + 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 = 11 + 3y + -3y Combine like terms: -7y + -3y = -10y -28 + -10y = 11 + 3y + -3y Combine like terms: 3y + -3y = 0 -28 + -10y = 11 + 0 -28 + -10y = 11 Add '28' to each side of the equation. -28 + 28 + -10y = 11 + 28 Combine like terms: -28 + 28 = 0 0 + -10y = 11 + 28 -10y = 11 + 28 Combine like terms: 11 + 28 = 39 -10y = 39 Divide each side by '-10'. y = -3.9 Simplifying y = -3.9
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