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Simplifying 5(y + -6) + -1 = -4(-8y + 4) + -9y Reorder the terms: 5(-6 + y) + -1 = -4(-8y + 4) + -9y (-6 * 5 + y * 5) + -1 = -4(-8y + 4) + -9y (-30 + 5y) + -1 = -4(-8y + 4) + -9y Reorder the terms: -30 + -1 + 5y = -4(-8y + 4) + -9y Combine like terms: -30 + -1 = -31 -31 + 5y = -4(-8y + 4) + -9y Reorder the terms: -31 + 5y = -4(4 + -8y) + -9y -31 + 5y = (4 * -4 + -8y * -4) + -9y -31 + 5y = (-16 + 32y) + -9y Combine like terms: 32y + -9y = 23y -31 + 5y = -16 + 23y Solving -31 + 5y = -16 + 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. -31 + 5y + -23y = -16 + 23y + -23y Combine like terms: 5y + -23y = -18y -31 + -18y = -16 + 23y + -23y Combine like terms: 23y + -23y = 0 -31 + -18y = -16 + 0 -31 + -18y = -16 Add '31' to each side of the equation. -31 + 31 + -18y = -16 + 31 Combine like terms: -31 + 31 = 0 0 + -18y = -16 + 31 -18y = -16 + 31 Combine like terms: -16 + 31 = 15 -18y = 15 Divide each side by '-18'. y = -0.8333333333 Simplifying y = -0.8333333333
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