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Simplifying 4(y + -7) = 6y + -12 Reorder the terms: 4(-7 + y) = 6y + -12 (-7 * 4 + y * 4) = 6y + -12 (-28 + 4y) = 6y + -12 Reorder the terms: -28 + 4y = -12 + 6y Solving -28 + 4y = -12 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. -28 + 4y + -6y = -12 + 6y + -6y Combine like terms: 4y + -6y = -2y -28 + -2y = -12 + 6y + -6y Combine like terms: 6y + -6y = 0 -28 + -2y = -12 + 0 -28 + -2y = -12 Add '28' to each side of the equation. -28 + 28 + -2y = -12 + 28 Combine like terms: -28 + 28 = 0 0 + -2y = -12 + 28 -2y = -12 + 28 Combine like terms: -12 + 28 = 16 -2y = 16 Divide each side by '-2'. y = -8 Simplifying y = -8
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