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Simplifying 6(7 + -2y) = 3 + -1(12 + -4y) (7 * 6 + -2y * 6) = 3 + -1(12 + -4y) (42 + -12y) = 3 + -1(12 + -4y) 42 + -12y = 3 + (12 * -1 + -4y * -1) 42 + -12y = 3 + (-12 + 4y) Combine like terms: 3 + -12 = -9 42 + -12y = -9 + 4y Solving 42 + -12y = -9 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 42 + -12y + -4y = -9 + 4y + -4y Combine like terms: -12y + -4y = -16y 42 + -16y = -9 + 4y + -4y Combine like terms: 4y + -4y = 0 42 + -16y = -9 + 0 42 + -16y = -9 Add '-42' to each side of the equation. 42 + -42 + -16y = -9 + -42 Combine like terms: 42 + -42 = 0 0 + -16y = -9 + -42 -16y = -9 + -42 Combine like terms: -9 + -42 = -51 -16y = -51 Divide each side by '-16'. y = 3.1875 Simplifying y = 3.1875
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