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Simplifying -4(4y + 4) + -1 = -8(y + 4) + 4y Reorder the terms: -4(4 + 4y) + -1 = -8(y + 4) + 4y (4 * -4 + 4y * -4) + -1 = -8(y + 4) + 4y (-16 + -16y) + -1 = -8(y + 4) + 4y Reorder the terms: -16 + -1 + -16y = -8(y + 4) + 4y Combine like terms: -16 + -1 = -17 -17 + -16y = -8(y + 4) + 4y Reorder the terms: -17 + -16y = -8(4 + y) + 4y -17 + -16y = (4 * -8 + y * -8) + 4y -17 + -16y = (-32 + -8y) + 4y Combine like terms: -8y + 4y = -4y -17 + -16y = -32 + -4y Solving -17 + -16y = -32 + -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. -17 + -16y + 4y = -32 + -4y + 4y Combine like terms: -16y + 4y = -12y -17 + -12y = -32 + -4y + 4y Combine like terms: -4y + 4y = 0 -17 + -12y = -32 + 0 -17 + -12y = -32 Add '17' to each side of the equation. -17 + 17 + -12y = -32 + 17 Combine like terms: -17 + 17 = 0 0 + -12y = -32 + 17 -12y = -32 + 17 Combine like terms: -32 + 17 = -15 -12y = -15 Divide each side by '-12'. y = 1.25 Simplifying y = 1.25
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