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Simplifying -4(4y + 5) + -7 = -8(y + 6) + 4y Reorder the terms: -4(5 + 4y) + -7 = -8(y + 6) + 4y (5 * -4 + 4y * -4) + -7 = -8(y + 6) + 4y (-20 + -16y) + -7 = -8(y + 6) + 4y Reorder the terms: -20 + -7 + -16y = -8(y + 6) + 4y Combine like terms: -20 + -7 = -27 -27 + -16y = -8(y + 6) + 4y Reorder the terms: -27 + -16y = -8(6 + y) + 4y -27 + -16y = (6 * -8 + y * -8) + 4y -27 + -16y = (-48 + -8y) + 4y Combine like terms: -8y + 4y = -4y -27 + -16y = -48 + -4y Solving -27 + -16y = -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. -27 + -16y + 4y = -48 + -4y + 4y Combine like terms: -16y + 4y = -12y -27 + -12y = -48 + -4y + 4y Combine like terms: -4y + 4y = 0 -27 + -12y = -48 + 0 -27 + -12y = -48 Add '27' to each side of the equation. -27 + 27 + -12y = -48 + 27 Combine like terms: -27 + 27 = 0 0 + -12y = -48 + 27 -12y = -48 + 27 Combine like terms: -48 + 27 = -21 -12y = -21 Divide each side by '-12'. y = 1.75 Simplifying y = 1.75
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