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Simplifying 3(y + 1) + 3 = 7(y + -2) Reorder the terms: 3(1 + y) + 3 = 7(y + -2) (1 * 3 + y * 3) + 3 = 7(y + -2) (3 + 3y) + 3 = 7(y + -2) Reorder the terms: 3 + 3 + 3y = 7(y + -2) Combine like terms: 3 + 3 = 6 6 + 3y = 7(y + -2) Reorder the terms: 6 + 3y = 7(-2 + y) 6 + 3y = (-2 * 7 + y * 7) 6 + 3y = (-14 + 7y) Solving 6 + 3y = -14 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. 6 + 3y + -7y = -14 + 7y + -7y Combine like terms: 3y + -7y = -4y 6 + -4y = -14 + 7y + -7y Combine like terms: 7y + -7y = 0 6 + -4y = -14 + 0 6 + -4y = -14 Add '-6' to each side of the equation. 6 + -6 + -4y = -14 + -6 Combine like terms: 6 + -6 = 0 0 + -4y = -14 + -6 -4y = -14 + -6 Combine like terms: -14 + -6 = -20 -4y = -20 Divide each side by '-4'. y = 5 Simplifying y = 5
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