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Simplifying 2(y + -4) + -3 = (y + -7) Reorder the terms: 2(-4 + y) + -3 = (y + -7) (-4 * 2 + y * 2) + -3 = (y + -7) (-8 + 2y) + -3 = (y + -7) Reorder the terms: -8 + -3 + 2y = (y + -7) Combine like terms: -8 + -3 = -11 -11 + 2y = (y + -7) Reorder the terms: -11 + 2y = (-7 + y) Remove parenthesis around (-7 + y) -11 + 2y = -7 + y Solving -11 + 2y = -7 + y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. -11 + 2y + -1y = -7 + y + -1y Combine like terms: 2y + -1y = 1y -11 + 1y = -7 + y + -1y Combine like terms: y + -1y = 0 -11 + 1y = -7 + 0 -11 + 1y = -7 Add '11' to each side of the equation. -11 + 11 + 1y = -7 + 11 Combine like terms: -11 + 11 = 0 0 + 1y = -7 + 11 1y = -7 + 11 Combine like terms: -7 + 11 = 4 1y = 4 Divide each side by '1'. y = 4 Simplifying y = 4
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