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Simplifying 4(y + -7) = 5 + -1(6y + -2) Reorder the terms: 4(-7 + y) = 5 + -1(6y + -2) (-7 * 4 + y * 4) = 5 + -1(6y + -2) (-28 + 4y) = 5 + -1(6y + -2) Reorder the terms: -28 + 4y = 5 + -1(-2 + 6y) -28 + 4y = 5 + (-2 * -1 + 6y * -1) -28 + 4y = 5 + (2 + -6y) Combine like terms: 5 + 2 = 7 -28 + 4y = 7 + -6y Solving -28 + 4y = 7 + -6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6y' to each side of the equation. -28 + 4y + 6y = 7 + -6y + 6y Combine like terms: 4y + 6y = 10y -28 + 10y = 7 + -6y + 6y Combine like terms: -6y + 6y = 0 -28 + 10y = 7 + 0 -28 + 10y = 7 Add '28' to each side of the equation. -28 + 28 + 10y = 7 + 28 Combine like terms: -28 + 28 = 0 0 + 10y = 7 + 28 10y = 7 + 28 Combine like terms: 7 + 28 = 35 10y = 35 Divide each side by '10'. y = 3.5 Simplifying y = 3.5
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