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