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Simplifying -4(4y + -8) + -1y = -4(y + -4) Reorder the terms: -4(-8 + 4y) + -1y = -4(y + -4) (-8 * -4 + 4y * -4) + -1y = -4(y + -4) (32 + -16y) + -1y = -4(y + -4) Combine like terms: -16y + -1y = -17y 32 + -17y = -4(y + -4) Reorder the terms: 32 + -17y = -4(-4 + y) 32 + -17y = (-4 * -4 + y * -4) 32 + -17y = (16 + -4y) Solving 32 + -17y = 16 + -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. 32 + -17y + 4y = 16 + -4y + 4y Combine like terms: -17y + 4y = -13y 32 + -13y = 16 + -4y + 4y Combine like terms: -4y + 4y = 0 32 + -13y = 16 + 0 32 + -13y = 16 Add '-32' to each side of the equation. 32 + -32 + -13y = 16 + -32 Combine like terms: 32 + -32 = 0 0 + -13y = 16 + -32 -13y = 16 + -32 Combine like terms: 16 + -32 = -16 -13y = -16 Divide each side by '-13'. y = 1.230769231 Simplifying y = 1.230769231
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