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Simplifying 3(y + -2) = 7(y + -1) + -3y Reorder the terms: 3(-2 + y) = 7(y + -1) + -3y (-2 * 3 + y * 3) = 7(y + -1) + -3y (-6 + 3y) = 7(y + -1) + -3y Reorder the terms: -6 + 3y = 7(-1 + y) + -3y -6 + 3y = (-1 * 7 + y * 7) + -3y -6 + 3y = (-7 + 7y) + -3y Combine like terms: 7y + -3y = 4y -6 + 3y = -7 + 4y Solving -6 + 3y = -7 + 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. -6 + 3y + -4y = -7 + 4y + -4y Combine like terms: 3y + -4y = -1y -6 + -1y = -7 + 4y + -4y Combine like terms: 4y + -4y = 0 -6 + -1y = -7 + 0 -6 + -1y = -7 Add '6' to each side of the equation. -6 + 6 + -1y = -7 + 6 Combine like terms: -6 + 6 = 0 0 + -1y = -7 + 6 -1y = -7 + 6 Combine like terms: -7 + 6 = -1 -1y = -1 Divide each side by '-1'. y = 1 Simplifying y = 1
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