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Simplifying 7(2y + -1) + 3y = -3(y + 2) + 2 Reorder the terms: 7(-1 + 2y) + 3y = -3(y + 2) + 2 (-1 * 7 + 2y * 7) + 3y = -3(y + 2) + 2 (-7 + 14y) + 3y = -3(y + 2) + 2 Combine like terms: 14y + 3y = 17y -7 + 17y = -3(y + 2) + 2 Reorder the terms: -7 + 17y = -3(2 + y) + 2 -7 + 17y = (2 * -3 + y * -3) + 2 -7 + 17y = (-6 + -3y) + 2 Reorder the terms: -7 + 17y = -6 + 2 + -3y Combine like terms: -6 + 2 = -4 -7 + 17y = -4 + -3y Solving -7 + 17y = -4 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. -7 + 17y + 3y = -4 + -3y + 3y Combine like terms: 17y + 3y = 20y -7 + 20y = -4 + -3y + 3y Combine like terms: -3y + 3y = 0 -7 + 20y = -4 + 0 -7 + 20y = -4 Add '7' to each side of the equation. -7 + 7 + 20y = -4 + 7 Combine like terms: -7 + 7 = 0 0 + 20y = -4 + 7 20y = -4 + 7 Combine like terms: -4 + 7 = 3 20y = 3 Divide each side by '20'. y = 0.15 Simplifying y = 0.15
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