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