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Simplifying -4(4y + 5) + -15 = -8(y + 7) + 4y Reorder the terms: -4(5 + 4y) + -15 = -8(y + 7) + 4y (5 * -4 + 4y * -4) + -15 = -8(y + 7) + 4y (-20 + -16y) + -15 = -8(y + 7) + 4y Reorder the terms: -20 + -15 + -16y = -8(y + 7) + 4y Combine like terms: -20 + -15 = -35 -35 + -16y = -8(y + 7) + 4y Reorder the terms: -35 + -16y = -8(7 + y) + 4y -35 + -16y = (7 * -8 + y * -8) + 4y -35 + -16y = (-56 + -8y) + 4y Combine like terms: -8y + 4y = -4y -35 + -16y = -56 + -4y Solving -35 + -16y = -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. -35 + -16y + 4y = -56 + -4y + 4y Combine like terms: -16y + 4y = -12y -35 + -12y = -56 + -4y + 4y Combine like terms: -4y + 4y = 0 -35 + -12y = -56 + 0 -35 + -12y = -56 Add '35' to each side of the equation. -35 + 35 + -12y = -56 + 35 Combine like terms: -35 + 35 = 0 0 + -12y = -56 + 35 -12y = -56 + 35 Combine like terms: -56 + 35 = -21 -12y = -21 Divide each side by '-12'. y = 1.75 Simplifying y = 1.75
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