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Simplifying -71 + 26y + 5 = 6(5y + -4) + -6 Reorder the terms: -71 + 5 + 26y = 6(5y + -4) + -6 Combine like terms: -71 + 5 = -66 -66 + 26y = 6(5y + -4) + -6 Reorder the terms: -66 + 26y = 6(-4 + 5y) + -6 -66 + 26y = (-4 * 6 + 5y * 6) + -6 -66 + 26y = (-24 + 30y) + -6 Reorder the terms: -66 + 26y = -24 + -6 + 30y Combine like terms: -24 + -6 = -30 -66 + 26y = -30 + 30y Solving -66 + 26y = -30 + 30y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-30y' to each side of the equation. -66 + 26y + -30y = -30 + 30y + -30y Combine like terms: 26y + -30y = -4y -66 + -4y = -30 + 30y + -30y Combine like terms: 30y + -30y = 0 -66 + -4y = -30 + 0 -66 + -4y = -30 Add '66' to each side of the equation. -66 + 66 + -4y = -30 + 66 Combine like terms: -66 + 66 = 0 0 + -4y = -30 + 66 -4y = -30 + 66 Combine like terms: -30 + 66 = 36 -4y = 36 Divide each side by '-4'. y = -9 Simplifying y = -9
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