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Simplifying 20(y + -4) + -4(7y + 8) = -16(y + 4) Reorder the terms: 20(-4 + y) + -4(7y + 8) = -16(y + 4) (-4 * 20 + y * 20) + -4(7y + 8) = -16(y + 4) (-80 + 20y) + -4(7y + 8) = -16(y + 4) Reorder the terms: -80 + 20y + -4(8 + 7y) = -16(y + 4) -80 + 20y + (8 * -4 + 7y * -4) = -16(y + 4) -80 + 20y + (-32 + -28y) = -16(y + 4) Reorder the terms: -80 + -32 + 20y + -28y = -16(y + 4) Combine like terms: -80 + -32 = -112 -112 + 20y + -28y = -16(y + 4) Combine like terms: 20y + -28y = -8y -112 + -8y = -16(y + 4) Reorder the terms: -112 + -8y = -16(4 + y) -112 + -8y = (4 * -16 + y * -16) -112 + -8y = (-64 + -16y) Solving -112 + -8y = -64 + -16y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '16y' to each side of the equation. -112 + -8y + 16y = -64 + -16y + 16y Combine like terms: -8y + 16y = 8y -112 + 8y = -64 + -16y + 16y Combine like terms: -16y + 16y = 0 -112 + 8y = -64 + 0 -112 + 8y = -64 Add '112' to each side of the equation. -112 + 112 + 8y = -64 + 112 Combine like terms: -112 + 112 = 0 0 + 8y = -64 + 112 8y = -64 + 112 Combine like terms: -64 + 112 = 48 8y = 48 Divide each side by '8'. y = 6 Simplifying y = 6
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