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Simplifying 3(y + -2) + -4y = 2(y + -9) Reorder the terms: 3(-2 + y) + -4y = 2(y + -9) (-2 * 3 + y * 3) + -4y = 2(y + -9) (-6 + 3y) + -4y = 2(y + -9) Combine like terms: 3y + -4y = -1y -6 + -1y = 2(y + -9) Reorder the terms: -6 + -1y = 2(-9 + y) -6 + -1y = (-9 * 2 + y * 2) -6 + -1y = (-18 + 2y) Solving -6 + -1y = -18 + 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 + -1y + -2y = -18 + 2y + -2y Combine like terms: -1y + -2y = -3y -6 + -3y = -18 + 2y + -2y Combine like terms: 2y + -2y = 0 -6 + -3y = -18 + 0 -6 + -3y = -18 Add '6' to each side of the equation. -6 + 6 + -3y = -18 + 6 Combine like terms: -6 + 6 = 0 0 + -3y = -18 + 6 -3y = -18 + 6 Combine like terms: -18 + 6 = -12 -3y = -12 Divide each side by '-3'. y = 4 Simplifying y = 4
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