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Simplifying 6(y + -7) = 2(2y + -5) Reorder the terms: 6(-7 + y) = 2(2y + -5) (-7 * 6 + y * 6) = 2(2y + -5) (-42 + 6y) = 2(2y + -5) Reorder the terms: -42 + 6y = 2(-5 + 2y) -42 + 6y = (-5 * 2 + 2y * 2) -42 + 6y = (-10 + 4y) Solving -42 + 6y = -10 + 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 + 6y + -4y = -10 + 4y + -4y Combine like terms: 6y + -4y = 2y -42 + 2y = -10 + 4y + -4y Combine like terms: 4y + -4y = 0 -42 + 2y = -10 + 0 -42 + 2y = -10 Add '42' to each side of the equation. -42 + 42 + 2y = -10 + 42 Combine like terms: -42 + 42 = 0 0 + 2y = -10 + 42 2y = -10 + 42 Combine like terms: -10 + 42 = 32 2y = 32 Divide each side by '2'. y = 16 Simplifying y = 16
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