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Simplifying 10y + -7(y + -1) = -2(-16y + -18) Reorder the terms: 10y + -7(-1 + y) = -2(-16y + -18) 10y + (-1 * -7 + y * -7) = -2(-16y + -18) 10y + (7 + -7y) = -2(-16y + -18) Reorder the terms: 7 + 10y + -7y = -2(-16y + -18) Combine like terms: 10y + -7y = 3y 7 + 3y = -2(-16y + -18) Reorder the terms: 7 + 3y = -2(-18 + -16y) 7 + 3y = (-18 * -2 + -16y * -2) 7 + 3y = (36 + 32y) Solving 7 + 3y = 36 + 32y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-32y' to each side of the equation. 7 + 3y + -32y = 36 + 32y + -32y Combine like terms: 3y + -32y = -29y 7 + -29y = 36 + 32y + -32y Combine like terms: 32y + -32y = 0 7 + -29y = 36 + 0 7 + -29y = 36 Add '-7' to each side of the equation. 7 + -7 + -29y = 36 + -7 Combine like terms: 7 + -7 = 0 0 + -29y = 36 + -7 -29y = 36 + -7 Combine like terms: 36 + -7 = 29 -29y = 29 Divide each side by '-29'. y = -1 Simplifying y = -1
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