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Simplifying -38 = 8(y + -6) + 2y Reorder the terms: -38 = 8(-6 + y) + 2y -38 = (-6 * 8 + y * 8) + 2y -38 = (-48 + 8y) + 2y Combine like terms: 8y + 2y = 10y -38 = -48 + 10y Solving -38 = -48 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. -38 + -10y = -48 + 10y + -10y Combine like terms: 10y + -10y = 0 -38 + -10y = -48 + 0 -38 + -10y = -48 Add '38' to each side of the equation. -38 + 38 + -10y = -48 + 38 Combine like terms: -38 + 38 = 0 0 + -10y = -48 + 38 -10y = -48 + 38 Combine like terms: -48 + 38 = -10 -10y = -10 Divide each side by '-10'. y = 1 Simplifying y = 1
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