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Simplifying 3(y + -2) + 4y = 16 + -1(2y + -7) Reorder the terms: 3(-2 + y) + 4y = 16 + -1(2y + -7) (-2 * 3 + y * 3) + 4y = 16 + -1(2y + -7) (-6 + 3y) + 4y = 16 + -1(2y + -7) Combine like terms: 3y + 4y = 7y -6 + 7y = 16 + -1(2y + -7) Reorder the terms: -6 + 7y = 16 + -1(-7 + 2y) -6 + 7y = 16 + (-7 * -1 + 2y * -1) -6 + 7y = 16 + (7 + -2y) Combine like terms: 16 + 7 = 23 -6 + 7y = 23 + -2y Solving -6 + 7y = 23 + -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. -6 + 7y + 2y = 23 + -2y + 2y Combine like terms: 7y + 2y = 9y -6 + 9y = 23 + -2y + 2y Combine like terms: -2y + 2y = 0 -6 + 9y = 23 + 0 -6 + 9y = 23 Add '6' to each side of the equation. -6 + 6 + 9y = 23 + 6 Combine like terms: -6 + 6 = 0 0 + 9y = 23 + 6 9y = 23 + 6 Combine like terms: 23 + 6 = 29 9y = 29 Divide each side by '9'. y = 3.222222222 Simplifying y = 3.222222222
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