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Simplifying 4(2y + -8) + 10y = 2(12y + 6) + -2y + 4 Reorder the terms: 4(-8 + 2y) + 10y = 2(12y + 6) + -2y + 4 (-8 * 4 + 2y * 4) + 10y = 2(12y + 6) + -2y + 4 (-32 + 8y) + 10y = 2(12y + 6) + -2y + 4 Combine like terms: 8y + 10y = 18y -32 + 18y = 2(12y + 6) + -2y + 4 Reorder the terms: -32 + 18y = 2(6 + 12y) + -2y + 4 -32 + 18y = (6 * 2 + 12y * 2) + -2y + 4 -32 + 18y = (12 + 24y) + -2y + 4 Reorder the terms: -32 + 18y = 12 + 4 + 24y + -2y Combine like terms: 12 + 4 = 16 -32 + 18y = 16 + 24y + -2y Combine like terms: 24y + -2y = 22y -32 + 18y = 16 + 22y Solving -32 + 18y = 16 + 22y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-22y' to each side of the equation. -32 + 18y + -22y = 16 + 22y + -22y Combine like terms: 18y + -22y = -4y -32 + -4y = 16 + 22y + -22y Combine like terms: 22y + -22y = 0 -32 + -4y = 16 + 0 -32 + -4y = 16 Add '32' to each side of the equation. -32 + 32 + -4y = 16 + 32 Combine like terms: -32 + 32 = 0 0 + -4y = 16 + 32 -4y = 16 + 32 Combine like terms: 16 + 32 = 48 -4y = 48 Divide each side by '-4'. y = -12 Simplifying y = -12
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