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Simplifying 3y + -48 = -7(y + 4) Reorder the terms: -48 + 3y = -7(y + 4) Reorder the terms: -48 + 3y = -7(4 + y) -48 + 3y = (4 * -7 + y * -7) -48 + 3y = (-28 + -7y) Solving -48 + 3y = -28 + -7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7y' to each side of the equation. -48 + 3y + 7y = -28 + -7y + 7y Combine like terms: 3y + 7y = 10y -48 + 10y = -28 + -7y + 7y Combine like terms: -7y + 7y = 0 -48 + 10y = -28 + 0 -48 + 10y = -28 Add '48' to each side of the equation. -48 + 48 + 10y = -28 + 48 Combine like terms: -48 + 48 = 0 0 + 10y = -28 + 48 10y = -28 + 48 Combine like terms: -28 + 48 = 20 10y = 20 Divide each side by '10'. y = 2 Simplifying y = 2
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