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Simplifying 2(y + -4) = 7(2y + 1) Reorder the terms: 2(-4 + y) = 7(2y + 1) (-4 * 2 + y * 2) = 7(2y + 1) (-8 + 2y) = 7(2y + 1) Reorder the terms: -8 + 2y = 7(1 + 2y) -8 + 2y = (1 * 7 + 2y * 7) -8 + 2y = (7 + 14y) Solving -8 + 2y = 7 + 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. -8 + 2y + -14y = 7 + 14y + -14y Combine like terms: 2y + -14y = -12y -8 + -12y = 7 + 14y + -14y Combine like terms: 14y + -14y = 0 -8 + -12y = 7 + 0 -8 + -12y = 7 Add '8' to each side of the equation. -8 + 8 + -12y = 7 + 8 Combine like terms: -8 + 8 = 0 0 + -12y = 7 + 8 -12y = 7 + 8 Combine like terms: 7 + 8 = 15 -12y = 15 Divide each side by '-12'. y = -1.25 Simplifying y = -1.25
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