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Simplifying y + -7 = 3y + -1(6y + -8) Reorder the terms: -7 + y = 3y + -1(6y + -8) Reorder the terms: -7 + y = 3y + -1(-8 + 6y) -7 + y = 3y + (-8 * -1 + 6y * -1) -7 + y = 3y + (8 + -6y) Reorder the terms: -7 + y = 8 + 3y + -6y Combine like terms: 3y + -6y = -3y -7 + y = 8 + -3y Solving -7 + y = 8 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. -7 + y + 3y = 8 + -3y + 3y Combine like terms: y + 3y = 4y -7 + 4y = 8 + -3y + 3y Combine like terms: -3y + 3y = 0 -7 + 4y = 8 + 0 -7 + 4y = 8 Add '7' to each side of the equation. -7 + 7 + 4y = 8 + 7 Combine like terms: -7 + 7 = 0 0 + 4y = 8 + 7 4y = 8 + 7 Combine like terms: 8 + 7 = 15 4y = 15 Divide each side by '4'. y = 3.75 Simplifying y = 3.75
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