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Simplifying -18y + 2y + 6 = 3(4y + -2) + -9 Reorder the terms: 6 + -18y + 2y = 3(4y + -2) + -9 Combine like terms: -18y + 2y = -16y 6 + -16y = 3(4y + -2) + -9 Reorder the terms: 6 + -16y = 3(-2 + 4y) + -9 6 + -16y = (-2 * 3 + 4y * 3) + -9 6 + -16y = (-6 + 12y) + -9 Reorder the terms: 6 + -16y = -6 + -9 + 12y Combine like terms: -6 + -9 = -15 6 + -16y = -15 + 12y Solving 6 + -16y = -15 + 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. 6 + -16y + -12y = -15 + 12y + -12y Combine like terms: -16y + -12y = -28y 6 + -28y = -15 + 12y + -12y Combine like terms: 12y + -12y = 0 6 + -28y = -15 + 0 6 + -28y = -15 Add '-6' to each side of the equation. 6 + -6 + -28y = -15 + -6 Combine like terms: 6 + -6 = 0 0 + -28y = -15 + -6 -28y = -15 + -6 Combine like terms: -15 + -6 = -21 -28y = -21 Divide each side by '-28'. y = 0.75 Simplifying y = 0.75
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