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Simplifying -38 = -8 + 6(y * 2) Reorder the terms for easier multiplication: -38 = -8 + 6(2y) Remove parenthesis around (2y) -38 = -8 + 6 * 2y Multiply 6 * 2 -38 = -8 + 12y Solving -38 = -8 + 12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12y' to each side of the equation. -38 + -12y = -8 + 12y + -12y Combine like terms: 12y + -12y = 0 -38 + -12y = -8 + 0 -38 + -12y = -8 Add '38' to each side of the equation. -38 + 38 + -12y = -8 + 38 Combine like terms: -38 + 38 = 0 0 + -12y = -8 + 38 -12y = -8 + 38 Combine like terms: -8 + 38 = 30 -12y = 30 Divide each side by '-12'. y = -2.5 Simplifying y = -2.5
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