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Simplifying 2y + -48 = -7(y + 3) Reorder the terms: -48 + 2y = -7(y + 3) Reorder the terms: -48 + 2y = -7(3 + y) -48 + 2y = (3 * -7 + y * -7) -48 + 2y = (-21 + -7y) Solving -48 + 2y = -21 + -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 + 2y + 7y = -21 + -7y + 7y Combine like terms: 2y + 7y = 9y -48 + 9y = -21 + -7y + 7y Combine like terms: -7y + 7y = 0 -48 + 9y = -21 + 0 -48 + 9y = -21 Add '48' to each side of the equation. -48 + 48 + 9y = -21 + 48 Combine like terms: -48 + 48 = 0 0 + 9y = -21 + 48 9y = -21 + 48 Combine like terms: -21 + 48 = 27 9y = 27 Divide each side by '9'. y = 3 Simplifying y = 3
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