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Simplifying -2(y + 1) = 2y + -5 + 3(4y + 7) Reorder the terms: -2(1 + y) = 2y + -5 + 3(4y + 7) (1 * -2 + y * -2) = 2y + -5 + 3(4y + 7) (-2 + -2y) = 2y + -5 + 3(4y + 7) Reorder the terms: -2 + -2y = 2y + -5 + 3(7 + 4y) -2 + -2y = 2y + -5 + (7 * 3 + 4y * 3) -2 + -2y = 2y + -5 + (21 + 12y) Reorder the terms: -2 + -2y = -5 + 21 + 2y + 12y Combine like terms: -5 + 21 = 16 -2 + -2y = 16 + 2y + 12y Combine like terms: 2y + 12y = 14y -2 + -2y = 16 + 14y Solving -2 + -2y = 16 + 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. -2 + -2y + -14y = 16 + 14y + -14y Combine like terms: -2y + -14y = -16y -2 + -16y = 16 + 14y + -14y Combine like terms: 14y + -14y = 0 -2 + -16y = 16 + 0 -2 + -16y = 16 Add '2' to each side of the equation. -2 + 2 + -16y = 16 + 2 Combine like terms: -2 + 2 = 0 0 + -16y = 16 + 2 -16y = 16 + 2 Combine like terms: 16 + 2 = 18 -16y = 18 Divide each side by '-16'. y = -1.125 Simplifying y = -1.125
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