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Simplifying -63 + 26y + 6 = 6(5y + -4) + -5 Reorder the terms: -63 + 6 + 26y = 6(5y + -4) + -5 Combine like terms: -63 + 6 = -57 -57 + 26y = 6(5y + -4) + -5 Reorder the terms: -57 + 26y = 6(-4 + 5y) + -5 -57 + 26y = (-4 * 6 + 5y * 6) + -5 -57 + 26y = (-24 + 30y) + -5 Reorder the terms: -57 + 26y = -24 + -5 + 30y Combine like terms: -24 + -5 = -29 -57 + 26y = -29 + 30y Solving -57 + 26y = -29 + 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. -57 + 26y + -30y = -29 + 30y + -30y Combine like terms: 26y + -30y = -4y -57 + -4y = -29 + 30y + -30y Combine like terms: 30y + -30y = 0 -57 + -4y = -29 + 0 -57 + -4y = -29 Add '57' to each side of the equation. -57 + 57 + -4y = -29 + 57 Combine like terms: -57 + 57 = 0 0 + -4y = -29 + 57 -4y = -29 + 57 Combine like terms: -29 + 57 = 28 -4y = 28 Divide each side by '-4'. y = -7 Simplifying y = -7
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