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Simplifying -5(4y + 4) + -8 = -8(y + 7) + 4y Reorder the terms: -5(4 + 4y) + -8 = -8(y + 7) + 4y (4 * -5 + 4y * -5) + -8 = -8(y + 7) + 4y (-20 + -20y) + -8 = -8(y + 7) + 4y Reorder the terms: -20 + -8 + -20y = -8(y + 7) + 4y Combine like terms: -20 + -8 = -28 -28 + -20y = -8(y + 7) + 4y Reorder the terms: -28 + -20y = -8(7 + y) + 4y -28 + -20y = (7 * -8 + y * -8) + 4y -28 + -20y = (-56 + -8y) + 4y Combine like terms: -8y + 4y = -4y -28 + -20y = -56 + -4y Solving -28 + -20y = -56 + -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. -28 + -20y + 4y = -56 + -4y + 4y Combine like terms: -20y + 4y = -16y -28 + -16y = -56 + -4y + 4y Combine like terms: -4y + 4y = 0 -28 + -16y = -56 + 0 -28 + -16y = -56 Add '28' to each side of the equation. -28 + 28 + -16y = -56 + 28 Combine like terms: -28 + 28 = 0 0 + -16y = -56 + 28 -16y = -56 + 28 Combine like terms: -56 + 28 = -28 -16y = -28 Divide each side by '-16'. y = 1.75 Simplifying y = 1.75
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