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Simplifying 1(2y + 2) + -4 = 16 + -8(y + 1) Reorder the terms: 1(2 + 2y) + -4 = 16 + -8(y + 1) (2 * 1 + 2y * 1) + -4 = 16 + -8(y + 1) (2 + 2y) + -4 = 16 + -8(y + 1) Reorder the terms: 2 + -4 + 2y = 16 + -8(y + 1) Combine like terms: 2 + -4 = -2 -2 + 2y = 16 + -8(y + 1) Reorder the terms: -2 + 2y = 16 + -8(1 + y) -2 + 2y = 16 + (1 * -8 + y * -8) -2 + 2y = 16 + (-8 + -8y) Combine like terms: 16 + -8 = 8 -2 + 2y = 8 + -8y Solving -2 + 2y = 8 + -8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8y' to each side of the equation. -2 + 2y + 8y = 8 + -8y + 8y Combine like terms: 2y + 8y = 10y -2 + 10y = 8 + -8y + 8y Combine like terms: -8y + 8y = 0 -2 + 10y = 8 + 0 -2 + 10y = 8 Add '2' to each side of the equation. -2 + 2 + 10y = 8 + 2 Combine like terms: -2 + 2 = 0 0 + 10y = 8 + 2 10y = 8 + 2 Combine like terms: 8 + 2 = 10 10y = 10 Divide each side by '10'. y = 1 Simplifying y = 1
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