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Simplifying 4(8 + -1y) + -47 = 26y + -5(3 + -6y) (8 * 4 + -1y * 4) + -47 = 26y + -5(3 + -6y) (32 + -4y) + -47 = 26y + -5(3 + -6y) Reorder the terms: 32 + -47 + -4y = 26y + -5(3 + -6y) Combine like terms: 32 + -47 = -15 -15 + -4y = 26y + -5(3 + -6y) -15 + -4y = 26y + (3 * -5 + -6y * -5) -15 + -4y = 26y + (-15 + 30y) Reorder the terms: -15 + -4y = -15 + 26y + 30y Combine like terms: 26y + 30y = 56y -15 + -4y = -15 + 56y Add '15' to each side of the equation. -15 + 15 + -4y = -15 + 15 + 56y Combine like terms: -15 + 15 = 0 0 + -4y = -15 + 15 + 56y -4y = -15 + 15 + 56y Combine like terms: -15 + 15 = 0 -4y = 0 + 56y -4y = 56y Solving -4y = 56y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-56y' to each side of the equation. -4y + -56y = 56y + -56y Combine like terms: -4y + -56y = -60y -60y = 56y + -56y Combine like terms: 56y + -56y = 0 -60y = 0 Divide each side by '-60'. y = 0.0 Simplifying y = 0.0
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