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Simplifying 8(y + -3) + 8 = 4(y + 12) Reorder the terms: 8(-3 + y) + 8 = 4(y + 12) (-3 * 8 + y * 8) + 8 = 4(y + 12) (-24 + 8y) + 8 = 4(y + 12) Reorder the terms: -24 + 8 + 8y = 4(y + 12) Combine like terms: -24 + 8 = -16 -16 + 8y = 4(y + 12) Reorder the terms: -16 + 8y = 4(12 + y) -16 + 8y = (12 * 4 + y * 4) -16 + 8y = (48 + 4y) Solving -16 + 8y = 48 + 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. -16 + 8y + -4y = 48 + 4y + -4y Combine like terms: 8y + -4y = 4y -16 + 4y = 48 + 4y + -4y Combine like terms: 4y + -4y = 0 -16 + 4y = 48 + 0 -16 + 4y = 48 Add '16' to each side of the equation. -16 + 16 + 4y = 48 + 16 Combine like terms: -16 + 16 = 0 0 + 4y = 48 + 16 4y = 48 + 16 Combine like terms: 48 + 16 = 64 4y = 64 Divide each side by '4'. y = 16 Simplifying y = 16
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