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Simplifying 4y + 4(y + -4) = 8y + 2(y + -10) Reorder the terms: 4y + 4(-4 + y) = 8y + 2(y + -10) 4y + (-4 * 4 + y * 4) = 8y + 2(y + -10) 4y + (-16 + 4y) = 8y + 2(y + -10) Reorder the terms: -16 + 4y + 4y = 8y + 2(y + -10) Combine like terms: 4y + 4y = 8y -16 + 8y = 8y + 2(y + -10) Reorder the terms: -16 + 8y = 8y + 2(-10 + y) -16 + 8y = 8y + (-10 * 2 + y * 2) -16 + 8y = 8y + (-20 + 2y) Reorder the terms: -16 + 8y = -20 + 8y + 2y Combine like terms: 8y + 2y = 10y -16 + 8y = -20 + 10y Solving -16 + 8y = -20 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. -16 + 8y + -10y = -20 + 10y + -10y Combine like terms: 8y + -10y = -2y -16 + -2y = -20 + 10y + -10y Combine like terms: 10y + -10y = 0 -16 + -2y = -20 + 0 -16 + -2y = -20 Add '16' to each side of the equation. -16 + 16 + -2y = -20 + 16 Combine like terms: -16 + 16 = 0 0 + -2y = -20 + 16 -2y = -20 + 16 Combine like terms: -20 + 16 = -4 -2y = -4 Divide each side by '-2'. y = 2 Simplifying y = 2
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