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Simplifying 8(y + -7) = 4y + -48 Reorder the terms: 8(-7 + y) = 4y + -48 (-7 * 8 + y * 8) = 4y + -48 (-56 + 8y) = 4y + -48 Reorder the terms: -56 + 8y = -48 + 4y Solving -56 + 8y = -48 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -56 + 8y + -4y = -48 + 4y + -4y Combine like terms: 8y + -4y = 4y -56 + 4y = -48 + 4y + -4y Combine like terms: 4y + -4y = 0 -56 + 4y = -48 + 0 -56 + 4y = -48 Add '56' to each side of the equation. -56 + 56 + 4y = -48 + 56 Combine like terms: -56 + 56 = 0 0 + 4y = -48 + 56 4y = -48 + 56 Combine like terms: -48 + 56 = 8 4y = 8 Divide each side by '4'. y = 2 Simplifying y = 2
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