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Simplifying 3(y + -2) + y = 7(2y + 1) + -3 Reorder the terms: 3(-2 + y) + y = 7(2y + 1) + -3 (-2 * 3 + y * 3) + y = 7(2y + 1) + -3 (-6 + 3y) + y = 7(2y + 1) + -3 Combine like terms: 3y + y = 4y -6 + 4y = 7(2y + 1) + -3 Reorder the terms: -6 + 4y = 7(1 + 2y) + -3 -6 + 4y = (1 * 7 + 2y * 7) + -3 -6 + 4y = (7 + 14y) + -3 Reorder the terms: -6 + 4y = 7 + -3 + 14y Combine like terms: 7 + -3 = 4 -6 + 4y = 4 + 14y Solving -6 + 4y = 4 + 14y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-14y' to each side of the equation. -6 + 4y + -14y = 4 + 14y + -14y Combine like terms: 4y + -14y = -10y -6 + -10y = 4 + 14y + -14y Combine like terms: 14y + -14y = 0 -6 + -10y = 4 + 0 -6 + -10y = 4 Add '6' to each side of the equation. -6 + 6 + -10y = 4 + 6 Combine like terms: -6 + 6 = 0 0 + -10y = 4 + 6 -10y = 4 + 6 Combine like terms: 4 + 6 = 10 -10y = 10 Divide each side by '-10'. y = -1 Simplifying y = -1
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