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Simplifying -87 + 20y + 8 = 6(5y + -2) + -7 Reorder the terms: -87 + 8 + 20y = 6(5y + -2) + -7 Combine like terms: -87 + 8 = -79 -79 + 20y = 6(5y + -2) + -7 Reorder the terms: -79 + 20y = 6(-2 + 5y) + -7 -79 + 20y = (-2 * 6 + 5y * 6) + -7 -79 + 20y = (-12 + 30y) + -7 Reorder the terms: -79 + 20y = -12 + -7 + 30y Combine like terms: -12 + -7 = -19 -79 + 20y = -19 + 30y Solving -79 + 20y = -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. -79 + 20y + -30y = -19 + 30y + -30y Combine like terms: 20y + -30y = -10y -79 + -10y = -19 + 30y + -30y Combine like terms: 30y + -30y = 0 -79 + -10y = -19 + 0 -79 + -10y = -19 Add '79' to each side of the equation. -79 + 79 + -10y = -19 + 79 Combine like terms: -79 + 79 = 0 0 + -10y = -19 + 79 -10y = -19 + 79 Combine like terms: -19 + 79 = 60 -10y = 60 Divide each side by '-10'. y = -6 Simplifying y = -6
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