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Simplifying 2(y + -4) + -4 = 3(y + -7) Reorder the terms: 2(-4 + y) + -4 = 3(y + -7) (-4 * 2 + y * 2) + -4 = 3(y + -7) (-8 + 2y) + -4 = 3(y + -7) Reorder the terms: -8 + -4 + 2y = 3(y + -7) Combine like terms: -8 + -4 = -12 -12 + 2y = 3(y + -7) Reorder the terms: -12 + 2y = 3(-7 + y) -12 + 2y = (-7 * 3 + y * 3) -12 + 2y = (-21 + 3y) Solving -12 + 2y = -21 + 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. -12 + 2y + -3y = -21 + 3y + -3y Combine like terms: 2y + -3y = -1y -12 + -1y = -21 + 3y + -3y Combine like terms: 3y + -3y = 0 -12 + -1y = -21 + 0 -12 + -1y = -21 Add '12' to each side of the equation. -12 + 12 + -1y = -21 + 12 Combine like terms: -12 + 12 = 0 0 + -1y = -21 + 12 -1y = -21 + 12 Combine like terms: -21 + 12 = -9 -1y = -9 Divide each side by '-1'. y = 9 Simplifying y = 9
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