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Simplifying 2(y + -1) + -3y = 3(y + -6) Reorder the terms: 2(-1 + y) + -3y = 3(y + -6) (-1 * 2 + y * 2) + -3y = 3(y + -6) (-2 + 2y) + -3y = 3(y + -6) Combine like terms: 2y + -3y = -1y -2 + -1y = 3(y + -6) Reorder the terms: -2 + -1y = 3(-6 + y) -2 + -1y = (-6 * 3 + y * 3) -2 + -1y = (-18 + 3y) Solving -2 + -1y = -18 + 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. -2 + -1y + -3y = -18 + 3y + -3y Combine like terms: -1y + -3y = -4y -2 + -4y = -18 + 3y + -3y Combine like terms: 3y + -3y = 0 -2 + -4y = -18 + 0 -2 + -4y = -18 Add '2' to each side of the equation. -2 + 2 + -4y = -18 + 2 Combine like terms: -2 + 2 = 0 0 + -4y = -18 + 2 -4y = -18 + 2 Combine like terms: -18 + 2 = -16 -4y = -16 Divide each side by '-4'. y = 4 Simplifying y = 4
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