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Simplifying 7(y + -4) + -8 = -4(-8y + 8) + -9y Reorder the terms: 7(-4 + y) + -8 = -4(-8y + 8) + -9y (-4 * 7 + y * 7) + -8 = -4(-8y + 8) + -9y (-28 + 7y) + -8 = -4(-8y + 8) + -9y Reorder the terms: -28 + -8 + 7y = -4(-8y + 8) + -9y Combine like terms: -28 + -8 = -36 -36 + 7y = -4(-8y + 8) + -9y Reorder the terms: -36 + 7y = -4(8 + -8y) + -9y -36 + 7y = (8 * -4 + -8y * -4) + -9y -36 + 7y = (-32 + 32y) + -9y Combine like terms: 32y + -9y = 23y -36 + 7y = -32 + 23y Solving -36 + 7y = -32 + 23y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-23y' to each side of the equation. -36 + 7y + -23y = -32 + 23y + -23y Combine like terms: 7y + -23y = -16y -36 + -16y = -32 + 23y + -23y Combine like terms: 23y + -23y = 0 -36 + -16y = -32 + 0 -36 + -16y = -32 Add '36' to each side of the equation. -36 + 36 + -16y = -32 + 36 Combine like terms: -36 + 36 = 0 0 + -16y = -32 + 36 -16y = -32 + 36 Combine like terms: -32 + 36 = 4 -16y = 4 Divide each side by '-16'. y = -0.25 Simplifying y = -0.25
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