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Simplifying -3(6y + -7) + -1y = -2(y + -2) Reorder the terms: -3(-7 + 6y) + -1y = -2(y + -2) (-7 * -3 + 6y * -3) + -1y = -2(y + -2) (21 + -18y) + -1y = -2(y + -2) Combine like terms: -18y + -1y = -19y 21 + -19y = -2(y + -2) Reorder the terms: 21 + -19y = -2(-2 + y) 21 + -19y = (-2 * -2 + y * -2) 21 + -19y = (4 + -2y) Solving 21 + -19y = 4 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. 21 + -19y + 2y = 4 + -2y + 2y Combine like terms: -19y + 2y = -17y 21 + -17y = 4 + -2y + 2y Combine like terms: -2y + 2y = 0 21 + -17y = 4 + 0 21 + -17y = 4 Add '-21' to each side of the equation. 21 + -21 + -17y = 4 + -21 Combine like terms: 21 + -21 = 0 0 + -17y = 4 + -21 -17y = 4 + -21 Combine like terms: 4 + -21 = -17 -17y = -17 Divide each side by '-17'. y = 1 Simplifying y = 1
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