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Simplifying -8(y + 7) = -4(y + 2) Reorder the terms: -8(7 + y) = -4(y + 2) (7 * -8 + y * -8) = -4(y + 2) (-56 + -8y) = -4(y + 2) Reorder the terms: -56 + -8y = -4(2 + y) -56 + -8y = (2 * -4 + y * -4) -56 + -8y = (-8 + -4y) Solving -56 + -8y = -8 + -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 = -8 + -4y + 4y Combine like terms: -8y + 4y = -4y -56 + -4y = -8 + -4y + 4y Combine like terms: -4y + 4y = 0 -56 + -4y = -8 + 0 -56 + -4y = -8 Add '56' to each side of the equation. -56 + 56 + -4y = -8 + 56 Combine like terms: -56 + 56 = 0 0 + -4y = -8 + 56 -4y = -8 + 56 Combine like terms: -8 + 56 = 48 -4y = 48 Divide each side by '-4'. y = -12 Simplifying y = -12
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