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Simplifying 2(y + -6) = 7 + 4(y + 16) Reorder the terms: 2(-6 + y) = 7 + 4(y + 16) (-6 * 2 + y * 2) = 7 + 4(y + 16) (-12 + 2y) = 7 + 4(y + 16) Reorder the terms: -12 + 2y = 7 + 4(16 + y) -12 + 2y = 7 + (16 * 4 + y * 4) -12 + 2y = 7 + (64 + 4y) Combine like terms: 7 + 64 = 71 -12 + 2y = 71 + 4y Solving -12 + 2y = 71 + 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. -12 + 2y + -4y = 71 + 4y + -4y Combine like terms: 2y + -4y = -2y -12 + -2y = 71 + 4y + -4y Combine like terms: 4y + -4y = 0 -12 + -2y = 71 + 0 -12 + -2y = 71 Add '12' to each side of the equation. -12 + 12 + -2y = 71 + 12 Combine like terms: -12 + 12 = 0 0 + -2y = 71 + 12 -2y = 71 + 12 Combine like terms: 71 + 12 = 83 -2y = 83 Divide each side by '-2'. y = -41.5 Simplifying y = -41.5
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