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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 = 4y 48 + 4y = 28 + -7y + 7y Combine like terms: -7y + 7y = 0 48 + 4y = 28 + 0 48 + 4y = 28 Add '-48' to each side of the equation. 48 + -48 + 4y = 28 + -48 Combine like terms: 48 + -48 = 0 0 + 4y = 28 + -48 4y = 28 + -48 Combine like terms: 28 + -48 = -20 4y = -20 Divide each side by '4'. y = -5 Simplifying y = -5
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