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Simplifying -3(2y + 7) + -5 = 7(3y + -5) + 7 Reorder the terms: -3(7 + 2y) + -5 = 7(3y + -5) + 7 (7 * -3 + 2y * -3) + -5 = 7(3y + -5) + 7 (-21 + -6y) + -5 = 7(3y + -5) + 7 Reorder the terms: -21 + -5 + -6y = 7(3y + -5) + 7 Combine like terms: -21 + -5 = -26 -26 + -6y = 7(3y + -5) + 7 Reorder the terms: -26 + -6y = 7(-5 + 3y) + 7 -26 + -6y = (-5 * 7 + 3y * 7) + 7 -26 + -6y = (-35 + 21y) + 7 Reorder the terms: -26 + -6y = -35 + 7 + 21y Combine like terms: -35 + 7 = -28 -26 + -6y = -28 + 21y Solving -26 + -6y = -28 + 21y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-21y' to each side of the equation. -26 + -6y + -21y = -28 + 21y + -21y Combine like terms: -6y + -21y = -27y -26 + -27y = -28 + 21y + -21y Combine like terms: 21y + -21y = 0 -26 + -27y = -28 + 0 -26 + -27y = -28 Add '26' to each side of the equation. -26 + 26 + -27y = -28 + 26 Combine like terms: -26 + 26 = 0 0 + -27y = -28 + 26 -27y = -28 + 26 Combine like terms: -28 + 26 = -2 -27y = -2 Divide each side by '-27'. y = 0.07407407407 Simplifying y = 0.07407407407
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