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Simplifying -2(y + 3) = 2y + -1 + 3(4y + 3) Reorder the terms: -2(3 + y) = 2y + -1 + 3(4y + 3) (3 * -2 + y * -2) = 2y + -1 + 3(4y + 3) (-6 + -2y) = 2y + -1 + 3(4y + 3) Reorder the terms: -6 + -2y = 2y + -1 + 3(3 + 4y) -6 + -2y = 2y + -1 + (3 * 3 + 4y * 3) -6 + -2y = 2y + -1 + (9 + 12y) Reorder the terms: -6 + -2y = -1 + 9 + 2y + 12y Combine like terms: -1 + 9 = 8 -6 + -2y = 8 + 2y + 12y Combine like terms: 2y + 12y = 14y -6 + -2y = 8 + 14y Solving -6 + -2y = 8 + 14y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-14y' to each side of the equation. -6 + -2y + -14y = 8 + 14y + -14y Combine like terms: -2y + -14y = -16y -6 + -16y = 8 + 14y + -14y Combine like terms: 14y + -14y = 0 -6 + -16y = 8 + 0 -6 + -16y = 8 Add '6' to each side of the equation. -6 + 6 + -16y = 8 + 6 Combine like terms: -6 + 6 = 0 0 + -16y = 8 + 6 -16y = 8 + 6 Combine like terms: 8 + 6 = 14 -16y = 14 Divide each side by '-16'. y = -0.875 Simplifying y = -0.875
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