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