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Simplifying -2(y + 7) = 4y + -7 + 2(3y + 4) Reorder the terms: -2(7 + y) = 4y + -7 + 2(3y + 4) (7 * -2 + y * -2) = 4y + -7 + 2(3y + 4) (-14 + -2y) = 4y + -7 + 2(3y + 4) Reorder the terms: -14 + -2y = 4y + -7 + 2(4 + 3y) -14 + -2y = 4y + -7 + (4 * 2 + 3y * 2) -14 + -2y = 4y + -7 + (8 + 6y) Reorder the terms: -14 + -2y = -7 + 8 + 4y + 6y Combine like terms: -7 + 8 = 1 -14 + -2y = 1 + 4y + 6y Combine like terms: 4y + 6y = 10y -14 + -2y = 1 + 10y Solving -14 + -2y = 1 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. -14 + -2y + -10y = 1 + 10y + -10y Combine like terms: -2y + -10y = -12y -14 + -12y = 1 + 10y + -10y Combine like terms: 10y + -10y = 0 -14 + -12y = 1 + 0 -14 + -12y = 1 Add '14' to each side of the equation. -14 + 14 + -12y = 1 + 14 Combine like terms: -14 + 14 = 0 0 + -12y = 1 + 14 -12y = 1 + 14 Combine like terms: 1 + 14 = 15 -12y = 15 Divide each side by '-12'. y = -1.25 Simplifying y = -1.25
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