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Simplifying 2(2y + -35) = 2(6y + 1) Reorder the terms: 2(-35 + 2y) = 2(6y + 1) (-35 * 2 + 2y * 2) = 2(6y + 1) (-70 + 4y) = 2(6y + 1) Reorder the terms: -70 + 4y = 2(1 + 6y) -70 + 4y = (1 * 2 + 6y * 2) -70 + 4y = (2 + 12y) Solving -70 + 4y = 2 + 12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12y' to each side of the equation. -70 + 4y + -12y = 2 + 12y + -12y Combine like terms: 4y + -12y = -8y -70 + -8y = 2 + 12y + -12y Combine like terms: 12y + -12y = 0 -70 + -8y = 2 + 0 -70 + -8y = 2 Add '70' to each side of the equation. -70 + 70 + -8y = 2 + 70 Combine like terms: -70 + 70 = 0 0 + -8y = 2 + 70 -8y = 2 + 70 Combine like terms: 2 + 70 = 72 -8y = 72 Divide each side by '-8'. y = -9 Simplifying y = -9
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