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Simplifying -60 + 26y + 5 = 6(5y + -2) + -7 Reorder the terms: -60 + 5 + 26y = 6(5y + -2) + -7 Combine like terms: -60 + 5 = -55 -55 + 26y = 6(5y + -2) + -7 Reorder the terms: -55 + 26y = 6(-2 + 5y) + -7 -55 + 26y = (-2 * 6 + 5y * 6) + -7 -55 + 26y = (-12 + 30y) + -7 Reorder the terms: -55 + 26y = -12 + -7 + 30y Combine like terms: -12 + -7 = -19 -55 + 26y = -19 + 30y Solving -55 + 26y = -19 + 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. -55 + 26y + -30y = -19 + 30y + -30y Combine like terms: 26y + -30y = -4y -55 + -4y = -19 + 30y + -30y Combine like terms: 30y + -30y = 0 -55 + -4y = -19 + 0 -55 + -4y = -19 Add '55' to each side of the equation. -55 + 55 + -4y = -19 + 55 Combine like terms: -55 + 55 = 0 0 + -4y = -19 + 55 -4y = -19 + 55 Combine like terms: -19 + 55 = 36 -4y = 36 Divide each side by '-4'. y = -9 Simplifying y = -9
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