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Simplifying 5y + 3(y + -4) = 8y + -2(y + -10) Reorder the terms: 5y + 3(-4 + y) = 8y + -2(y + -10) 5y + (-4 * 3 + y * 3) = 8y + -2(y + -10) 5y + (-12 + 3y) = 8y + -2(y + -10) Reorder the terms: -12 + 5y + 3y = 8y + -2(y + -10) Combine like terms: 5y + 3y = 8y -12 + 8y = 8y + -2(y + -10) Reorder the terms: -12 + 8y = 8y + -2(-10 + y) -12 + 8y = 8y + (-10 * -2 + y * -2) -12 + 8y = 8y + (20 + -2y) Reorder the terms: -12 + 8y = 20 + 8y + -2y Combine like terms: 8y + -2y = 6y -12 + 8y = 20 + 6y Solving -12 + 8y = 20 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. -12 + 8y + -6y = 20 + 6y + -6y Combine like terms: 8y + -6y = 2y -12 + 2y = 20 + 6y + -6y Combine like terms: 6y + -6y = 0 -12 + 2y = 20 + 0 -12 + 2y = 20 Add '12' to each side of the equation. -12 + 12 + 2y = 20 + 12 Combine like terms: -12 + 12 = 0 0 + 2y = 20 + 12 2y = 20 + 12 Combine like terms: 20 + 12 = 32 2y = 32 Divide each side by '2'. y = 16 Simplifying y = 16
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