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Simplifying 4(3y + 4) = 2(5y + -7) Reorder the terms: 4(4 + 3y) = 2(5y + -7) (4 * 4 + 3y * 4) = 2(5y + -7) (16 + 12y) = 2(5y + -7) Reorder the terms: 16 + 12y = 2(-7 + 5y) 16 + 12y = (-7 * 2 + 5y * 2) 16 + 12y = (-14 + 10y) Solving 16 + 12y = -14 + 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. 16 + 12y + -10y = -14 + 10y + -10y Combine like terms: 12y + -10y = 2y 16 + 2y = -14 + 10y + -10y Combine like terms: 10y + -10y = 0 16 + 2y = -14 + 0 16 + 2y = -14 Add '-16' to each side of the equation. 16 + -16 + 2y = -14 + -16 Combine like terms: 16 + -16 = 0 0 + 2y = -14 + -16 2y = -14 + -16 Combine like terms: -14 + -16 = -30 2y = -30 Divide each side by '2'. y = -15 Simplifying y = -15
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