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Simplifying 6(y + -7) = -3(4y + 5) Reorder the terms: 6(-7 + y) = -3(4y + 5) (-7 * 6 + y * 6) = -3(4y + 5) (-42 + 6y) = -3(4y + 5) Reorder the terms: -42 + 6y = -3(5 + 4y) -42 + 6y = (5 * -3 + 4y * -3) -42 + 6y = (-15 + -12y) Solving -42 + 6y = -15 + -12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '12y' to each side of the equation. -42 + 6y + 12y = -15 + -12y + 12y Combine like terms: 6y + 12y = 18y -42 + 18y = -15 + -12y + 12y Combine like terms: -12y + 12y = 0 -42 + 18y = -15 + 0 -42 + 18y = -15 Add '42' to each side of the equation. -42 + 42 + 18y = -15 + 42 Combine like terms: -42 + 42 = 0 0 + 18y = -15 + 42 18y = -15 + 42 Combine like terms: -15 + 42 = 27 18y = 27 Divide each side by '18'. y = 1.5 Simplifying y = 1.5
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