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Simplifying 3(y + -2) + -1 = 4y + -12 Reorder the terms: 3(-2 + y) + -1 = 4y + -12 (-2 * 3 + y * 3) + -1 = 4y + -12 (-6 + 3y) + -1 = 4y + -12 Reorder the terms: -6 + -1 + 3y = 4y + -12 Combine like terms: -6 + -1 = -7 -7 + 3y = 4y + -12 Reorder the terms: -7 + 3y = -12 + 4y Solving -7 + 3y = -12 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -7 + 3y + -4y = -12 + 4y + -4y Combine like terms: 3y + -4y = -1y -7 + -1y = -12 + 4y + -4y Combine like terms: 4y + -4y = 0 -7 + -1y = -12 + 0 -7 + -1y = -12 Add '7' to each side of the equation. -7 + 7 + -1y = -12 + 7 Combine like terms: -7 + 7 = 0 0 + -1y = -12 + 7 -1y = -12 + 7 Combine like terms: -12 + 7 = -5 -1y = -5 Divide each side by '-1'. y = 5 Simplifying y = 5
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